Geometry & Topology Volume 19, issue 3 (2015)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP journals

Holomorphic Lagrangian branes correspond to perverse sheaves

Xin Jin

Geometry & Topology 19 (2015) 1685–1735

DOI: 10.2140/gt.2015.19.1685

Bibliography

1	G Alston, Floer cohomology of real Lagrangians in the Fermat quintic threefold, PhD Thesis, The University of Wisconsin Madison (2010)
2	D Auroux, A beginner's introduction to Fukaya categories, from: "Contact and symplectic topology" (editors F Bourgeois, V Colin, A Stipsicz), Bolyai Soc. Math. Stud. 26, János Bolyai Math. Soc. (2014) 85 MR3220941
3	A A Beĭlinson, J Bernstein, P Deligne, Faisceaux pervers, from: "Analysis and topology on singular spaces, I", Astérisque 100, Soc. Math. France (1982) 5 MR751966
4	L van den Dries, C Miller, Geometric categories and $o$–minimal structures, Duke Math. J. 84 (1996) 497 MR1404337
5	K Fukaya, Y G Oh, Zero-loop open strings in the cotangent bundle and Morse homotopy, Asian J. Math. 1 (1997) 96 MR1480992
6	M Goresky, R MacPherson, Stratified Morse theory, Ergeb. Math. Grenzgeb. 14, Springer (1988) MR932724
7	F R Harvey, H B Lawson Jr., Finite volume flows and Morse theory, Ann. of Math. 153 (2001) 1 MR1826410
8	R Hotta, K Takeuchi, T Tanisaki, $D$–modules, perverse sheaves and representation theory, Progress in Math. 236, Birkhäuser (2008) MR2357361
9	A Kapustin, $A$–branes and noncommutative geometry, arXiv:hep-th/0502212
10	A Kapustin, E Witten, Electric-magnetic duality and the geometric Langlands program, Commun. Number Theory Phys. 1 (2007) 1 MR2306566
11	M Kashiwara, P Schapira, Sheaves on manifolds, Grundl. Math. Wissen. 292, Springer (1990) MR1074006
12	M Kontsevich, Y Soibelman, Homological mirror symmetry and torus fibrations, from: "Symplectic geometry and mirror symmetry" (editors K Fukaya, Y G Oh, K Ono, G Tian), World Sci. Publ. (2001) 203 MR1882331
13	D B Massey, Stratified Morse theory: Past and present, Pure Appl. Math. Q. 2 (2006) 1053 MR2282413
14	D Nadler, Microlocal branes are constructible sheaves, Selecta Math. 15 (2009) 563 MR2565051
15	D Nadler, E Zaslow, Constructible sheaves and the Fukaya category, J. Amer. Math. Soc. 22 (2009) 233 MR2449059
16	Y Peterzil, S Starchenko, Complex analytic geometry and analytic-geometric categories, J. Reine Angew. Math. 626 (2009) 39 MR2492989
17	W Schmid, K Vilonen, Characteristic cycles of constructible sheaves, Invent. Math. 124 (1996) 451 MR1369425
18	P Seidel, Fukaya categories and Picard–Lefschetz theory, Zurich Lectures in Adv. Math., European Math. Soc. (2008) MR2441780
19	J C Sikorav, Some properties of holomorphic curves in almost complex manifolds, from: "Holomorphic curves in symplectic geometry" (editors M Audin, J Lafontaine), Progr. Math. 117, Birkhäuser (1994) 165 MR1274929