Reference for Fukaya Categories and Homological Mirror Symmetry The 2019 Stack Overflow Developer Survey Results Are In Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)About Homological Mirror SymmetryMathematics and Physics prerequisites for mirror symmetryReference to self-study Abstract Algebra and Category TheoryLearning roadmap to Topological Quantum Field Theories from a mathematics perspectivePrerequisites and references for homological algebraReference for homological algebra in abelian categories?Homological categories in functional analysisWhat is mirror of symplectic $mathbbCP^2$?Mirror Symmetry of Calabi-Yau Surfaces?Reference for homological algebra via model categories and/or stable $(infty,1)$-category theory
Huge performance difference of the command find with and without using %M option to show permissions
What other Star Trek series did the main TNG cast show up in?
"is" operation returns false even though two objects have same id
Am I ethically obligated to go into work on an off day if the reason is sudden?
What can I do if neighbor is blocking my solar panels intentionally?
How to determine omitted units in a publication
How did the audience guess the pentatonic scale in Bobby McFerrin's presentation?
How do you keep chess fun when your opponent constantly beats you?
Make it rain characters
Was credit for the black hole image misappropriated?
Python - Fishing Simulator
How to make Illustrator type tool selection automatically adapt with text length
Why did Peik Lin say, "I'm not an animal"?
"... to apply for a visa" or "... and applied for a visa"?
Simulating Exploding Dice
Drawing vertical/oblique lines in Metrical tree (tikz-qtree, tipa)
should truth entail possible truth
Keeping a retro style to sci-fi spaceships?
Is there a writing software that you can sort scenes like slides in PowerPoint?
Do I have Disadvantage attacking with an off-hand weapon?
Accepted by European university, rejected by all American ones I applied to? Possible reasons?
Is every episode of "Where are my Pants?" identical?
Did the UK government pay "millions and millions of dollars" to try to snag Julian Assange?
Why can't wing-mounted spoilers be used to steepen approaches?
Reference for Fukaya Categories and Homological Mirror Symmetry
The 2019 Stack Overflow Developer Survey Results Are In
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)About Homological Mirror SymmetryMathematics and Physics prerequisites for mirror symmetryReference to self-study Abstract Algebra and Category TheoryLearning roadmap to Topological Quantum Field Theories from a mathematics perspectivePrerequisites and references for homological algebraReference for homological algebra in abelian categories?Homological categories in functional analysisWhat is mirror of symplectic $mathbbCP^2$?Mirror Symmetry of Calabi-Yau Surfaces?Reference for homological algebra via model categories and/or stable $(infty,1)$-category theory
$begingroup$
What references are there for learning Fukaya categories (specifically, good references for self-study)?
In addition, any references with an eye toward homological mirror symmetry would be greatly appreciated.
algebraic-geometry reference-request category-theory mathematical-physics mirror-symmetry
edited Mar 24 at 16:19
Andrews
1,2812423
$endgroup$
add a comment |
$begingroup$
What references are there for learning Fukaya categories (specifically, good references for self-study)?
In addition, any references with an eye toward homological mirror symmetry would be greatly appreciated.
algebraic-geometry reference-request category-theory mathematical-physics mirror-symmetry
edited Mar 24 at 16:19
Andrews
1,2812423
$endgroup$
$begingroup$
A google search yielded this: arxiv.org/abs/1301.7056
$endgroup$
– user55407
Nov 6 '13 at 14:43
$begingroup$
Yes, I have that as well as some other references in my que. Perhaps I should be a bit more clear: I am asking if anyone personally recommends references that they have read on the subject that they find to be good introductions (especially for self-study), in order to whittle down the references I have to a few good ones. :)
$endgroup$
– user101616
Nov 6 '13 at 14:58
$begingroup$
are you interested in the geoemtry behind them, or in the $A_infty$-category structure?
$endgroup$
– Avitus
Nov 6 '13 at 15:16
$begingroup$
Well, I do try to have a geometric understanding of anything I can… but I personally gravitate more towards anything (higher) category-theortic, so I suppose it would be the latter.
$endgroup$
– user101616
Nov 6 '13 at 15:46
add a comment |
$begingroup$
What references are there for learning Fukaya categories (specifically, good references for self-study)?
In addition, any references with an eye toward homological mirror symmetry would be greatly appreciated.
algebraic-geometry reference-request category-theory mathematical-physics mirror-symmetry
edited Mar 24 at 16:19
Andrews
1,2812423
$endgroup$
What references are there for learning Fukaya categories (specifically, good references for self-study)?
In addition, any references with an eye toward homological mirror symmetry would be greatly appreciated.
algebraic-geometry reference-request category-theory mathematical-physics mirror-symmetry
algebraic-geometry reference-request category-theory mathematical-physics mirror-symmetry
edited Mar 24 at 16:19
Andrews
1,2812423
edited Mar 24 at 16:19
Andrews
1,2812423
edited Mar 24 at 16:19
Andrews
1,2812423
edited Mar 24 at 16:19
Andrews
1,2812423
edited Mar 24 at 16:19
Andrews
1,2812423
1,2812423
asked Nov 6 '13 at 14:41
user101616
$begingroup$
A google search yielded this: arxiv.org/abs/1301.7056
$endgroup$
– user55407
Nov 6 '13 at 14:43
$begingroup$
Yes, I have that as well as some other references in my que. Perhaps I should be a bit more clear: I am asking if anyone personally recommends references that they have read on the subject that they find to be good introductions (especially for self-study), in order to whittle down the references I have to a few good ones. :)
$endgroup$
– user101616
Nov 6 '13 at 14:58
$begingroup$
are you interested in the geoemtry behind them, or in the $A_infty$-category structure?
$endgroup$
– Avitus
Nov 6 '13 at 15:16
$begingroup$
Well, I do try to have a geometric understanding of anything I can… but I personally gravitate more towards anything (higher) category-theortic, so I suppose it would be the latter.
$endgroup$
– user101616
Nov 6 '13 at 15:46
add a comment |
$begingroup$
A google search yielded this: arxiv.org/abs/1301.7056
$endgroup$
– user55407
Nov 6 '13 at 14:43
$begingroup$
Yes, I have that as well as some other references in my que. Perhaps I should be a bit more clear: I am asking if anyone personally recommends references that they have read on the subject that they find to be good introductions (especially for self-study), in order to whittle down the references I have to a few good ones. :)
$endgroup$
– user101616
Nov 6 '13 at 14:58
$begingroup$
are you interested in the geoemtry behind them, or in the $A_infty$-category structure?
$endgroup$
– Avitus
Nov 6 '13 at 15:16
$begingroup$
Well, I do try to have a geometric understanding of anything I can… but I personally gravitate more towards anything (higher) category-theortic, so I suppose it would be the latter.
$endgroup$
– user101616
Nov 6 '13 at 15:46
$begingroup$
A google search yielded this: arxiv.org/abs/1301.7056
$endgroup$
– user55407
Nov 6 '13 at 14:43
$begingroup$
A google search yielded this: arxiv.org/abs/1301.7056
$endgroup$
– user55407
Nov 6 '13 at 14:43
$begingroup$
Yes, I have that as well as some other references in my que. Perhaps I should be a bit more clear: I am asking if anyone personally recommends references that they have read on the subject that they find to be good introductions (especially for self-study), in order to whittle down the references I have to a few good ones. :)
$endgroup$
– user101616
Nov 6 '13 at 14:58
$begingroup$
Yes, I have that as well as some other references in my que. Perhaps I should be a bit more clear: I am asking if anyone personally recommends references that they have read on the subject that they find to be good introductions (especially for self-study), in order to whittle down the references I have to a few good ones. :)
$endgroup$
– user101616
Nov 6 '13 at 14:58
$begingroup$
are you interested in the geoemtry behind them, or in the $A_infty$-category structure?
$endgroup$
– Avitus
Nov 6 '13 at 15:16
$begingroup$
are you interested in the geoemtry behind them, or in the $A_infty$-category structure?
$endgroup$
– Avitus
Nov 6 '13 at 15:16
$begingroup$
Well, I do try to have a geometric understanding of anything I can… but I personally gravitate more towards anything (higher) category-theortic, so I suppose it would be the latter.
$endgroup$
– user101616
Nov 6 '13 at 15:46
$begingroup$
Well, I do try to have a geometric understanding of anything I can… but I personally gravitate more towards anything (higher) category-theortic, so I suppose it would be the latter.
$endgroup$
– user101616
Nov 6 '13 at 15:46
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
I personally recommend Paul Seidel's Fukaya Categories and Picard-Lefschetz Theory
book. It is not easy (imho) but contains an introduction to $A_infty$-categories, it explains the Fukaya categories in both a preliminary and a complete version and provides an example of Fukaya cat. of a Lefschetz fibration.
Another good reference is the paper
http://arxiv.org/pdf/math/0011041.pdf
Section 4 is about $A_infty$-structures, while section5 contains an introduction to Fukaya categories.
answered Nov 6 '13 at 15:21
AvitusAvitus
11.8k11841
$endgroup$
1
$begingroup$
Good to know that Konstevich's paper is good, since I was planning on reading through it no matter what! :D I'll have to head over to the library and check out Seidel's book tomorrow -- thanks! Much appreciated.
$endgroup$
– user101616
Nov 6 '13 at 15:48
add a comment |
Your Answer
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f554388%2freference-for-fukaya-categories-and-homological-mirror-symmetry%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
I personally recommend Paul Seidel's Fukaya Categories and Picard-Lefschetz Theory
book. It is not easy (imho) but contains an introduction to $A_infty$-categories, it explains the Fukaya categories in both a preliminary and a complete version and provides an example of Fukaya cat. of a Lefschetz fibration.
Another good reference is the paper
http://arxiv.org/pdf/math/0011041.pdf
Section 4 is about $A_infty$-structures, while section5 contains an introduction to Fukaya categories.
answered Nov 6 '13 at 15:21
AvitusAvitus
11.8k11841
$endgroup$
1
$begingroup$
Good to know that Konstevich's paper is good, since I was planning on reading through it no matter what! :D I'll have to head over to the library and check out Seidel's book tomorrow -- thanks! Much appreciated.
$endgroup$
– user101616
Nov 6 '13 at 15:48
add a comment |
$begingroup$
I personally recommend Paul Seidel's Fukaya Categories and Picard-Lefschetz Theory
book. It is not easy (imho) but contains an introduction to $A_infty$-categories, it explains the Fukaya categories in both a preliminary and a complete version and provides an example of Fukaya cat. of a Lefschetz fibration.
Another good reference is the paper
http://arxiv.org/pdf/math/0011041.pdf
Section 4 is about $A_infty$-structures, while section5 contains an introduction to Fukaya categories.
answered Nov 6 '13 at 15:21
AvitusAvitus
11.8k11841
$endgroup$
1
$begingroup$
Good to know that Konstevich's paper is good, since I was planning on reading through it no matter what! :D I'll have to head over to the library and check out Seidel's book tomorrow -- thanks! Much appreciated.
$endgroup$
– user101616
Nov 6 '13 at 15:48
add a comment |
$begingroup$
I personally recommend Paul Seidel's Fukaya Categories and Picard-Lefschetz Theory
book. It is not easy (imho) but contains an introduction to $A_infty$-categories, it explains the Fukaya categories in both a preliminary and a complete version and provides an example of Fukaya cat. of a Lefschetz fibration.
Another good reference is the paper
http://arxiv.org/pdf/math/0011041.pdf
Section 4 is about $A_infty$-structures, while section5 contains an introduction to Fukaya categories.
answered Nov 6 '13 at 15:21
AvitusAvitus
11.8k11841
$endgroup$
I personally recommend Paul Seidel's Fukaya Categories and Picard-Lefschetz Theory
book. It is not easy (imho) but contains an introduction to $A_infty$-categories, it explains the Fukaya categories in both a preliminary and a complete version and provides an example of Fukaya cat. of a Lefschetz fibration.
Another good reference is the paper
http://arxiv.org/pdf/math/0011041.pdf
Section 4 is about $A_infty$-structures, while section5 contains an introduction to Fukaya categories.
answered Nov 6 '13 at 15:21
AvitusAvitus
11.8k11841
answered Nov 6 '13 at 15:21
AvitusAvitus
11.8k11841
answered Nov 6 '13 at 15:21
AvitusAvitus
11.8k11841
answered Nov 6 '13 at 15:21
AvitusAvitus
11.8k11841
11.8k11841
1
$begingroup$
Good to know that Konstevich's paper is good, since I was planning on reading through it no matter what! :D I'll have to head over to the library and check out Seidel's book tomorrow -- thanks! Much appreciated.
$endgroup$
– user101616
Nov 6 '13 at 15:48
add a comment |
1
$begingroup$
Good to know that Konstevich's paper is good, since I was planning on reading through it no matter what! :D I'll have to head over to the library and check out Seidel's book tomorrow -- thanks! Much appreciated.
$endgroup$
– user101616
Nov 6 '13 at 15:48
1
1
$begingroup$
Good to know that Konstevich's paper is good, since I was planning on reading through it no matter what! :D I'll have to head over to the library and check out Seidel's book tomorrow -- thanks! Much appreciated.
$endgroup$
– user101616
Nov 6 '13 at 15:48
$begingroup$
Good to know that Konstevich's paper is good, since I was planning on reading through it no matter what! :D I'll have to head over to the library and check out Seidel's book tomorrow -- thanks! Much appreciated.
$endgroup$
– user101616
Nov 6 '13 at 15:48
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f554388%2freference-for-fukaya-categories-and-homological-mirror-symmetry%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
A google search yielded this: arxiv.org/abs/1301.7056
$endgroup$
– user55407
Nov 6 '13 at 14:43
$begingroup$
Yes, I have that as well as some other references in my que. Perhaps I should be a bit more clear: I am asking if anyone personally recommends references that they have read on the subject that they find to be good introductions (especially for self-study), in order to whittle down the references I have to a few good ones. :)
$endgroup$
– user101616
Nov 6 '13 at 14:58
$begingroup$
are you interested in the geoemtry behind them, or in the $A_infty$-category structure?
$endgroup$
– Avitus
Nov 6 '13 at 15:16
$begingroup$
Well, I do try to have a geometric understanding of anything I can… but I personally gravitate more towards anything (higher) category-theortic, so I suppose it would be the latter.
$endgroup$
– user101616
Nov 6 '13 at 15:46