Fukaya Categories and Picard–Lefschetz Theory

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	FrontmatterDownload pp. i–iv
	PrefaceDownload pp. v–vi
	ContentsDownload p. vii
	IntroductionDownload pp. 1–6
I	$A_{\infty}$ -categoriesp. 7
1	Definitionspp. 8–22
2	Identity morphisms and equivalencespp. 22–32
3	Exact trianglespp. 32–55
4	Idempotentspp. 55–62
5	Twistingpp. 62–87
6	$Z /2$ -actionspp. 87–93
II	Fukaya categoriesp. 95
7	A little symplectic geometrypp. 96–100
8	Classical Floer theorypp. 100–112
9	The Fukaya category (preliminary version)pp. 113–133
10	Some basic propertiespp. 133–149
11	Indices and determinant linespp. 149–174
12	The Fukaya category (complete version)pp. 174–190
13	Polygons on surfacespp. 190–198
14	Symplectic involutionspp. 198–210
III	Picard–Lefschetz theorypp. 211–212
15	First notionspp. 212–220
16	Vanishing cycles and matching cyclespp. 220–235
17	Pseudo-holomorphic sectionspp. 235–265
18	The Fukaya category of a Lefschetz fibrationpp. 265–291
19	Algebraic varietiespp. 291–304
20	$(A_{m})$ type Milnor fibrespp. 304–314
	Bibliographypp. 315–322
	Symbolspp. 323–324
	Indexpp. 325–326