Geometry & Topology Volume 16, issue 4 (2012)

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Homological mirror symmetry for the quintic 3–fold

Yuichi Nohara and Kazushi Ueda

Geometry & Topology 16 (2012) 1967–2001

DOI: 10.2140/gt.2012.16.1967

Bibliography

1	M Abouzaid, I Smith, Homological mirror symmetry for the 4–torus, Duke Math. J. 152 (2010) 373 MR2654219
2	M Akaho, D Joyce, Immersed Lagrangian Floer theory, J. Differential Geom. 86 (2010) 381 MR2785840
3	A A Beĭlinson, Coherent sheaves on $\mathbb{P}^{n}$ and problems in linear algebra, Funktsional. Anal. i Prilozhen. 12 (1978) 68 MR509388
4	C H Cho, Holomorphic discs, spin structures, and Floer cohomology of the Clifford torus, Int. Math. Res. Not. 2004 (2004) 1803 MR2057871
5	K Fukaya, Mirror symmetry of abelian varieties and multi-theta functions, J. Algebraic Geom. 11 (2002) 393 MR1894935
6	K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory: anomaly and obstruction, AMS/IP Studies in Advanced Mathematics 46, American Mathematical Society (2009)
7	M Futaki, K Ueda, Tropical coamoeba and torus-equivariant homological mirror symmetry for the projective space arXiv:1001.4858
8	L Katzarkov, Birational geometry and homological mirror symmetry, from: "Real and complex singularities", World Sci. Publ., Hackensack, NJ (2007) 176 MR2336686
9	M Kontsevich, Homological algebra of mirror symmetry, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994)", Birkhäuser (1995) 120 MR1403918
10	M Kontsevich, Lectures at ENS Paris, Spring 1998 (1998)
11	M Kontsevich, Y Soibelman, Homological mirror symmetry and torus fibrations, from: "Symplectic geometry and mirror symmetry (Seoul, 2000)", World Sci. Publ., River Edge, NJ (2001) 203 MR1882331
12	Y G Oh, Seidel's long exact sequence on Calabi–Yau manifolds arXiv:1002.1648
13	A Polishchuk, Massey and Fukaya products on elliptic curves, Adv. Theor. Math. Phys. 4 (2000) 1187 MR1894854
14	A Polishchuk, E Zaslow, Categorical mirror symmetry: the elliptic curve, Adv. Theor. Math. Phys. 2 (1998) 443 MR1633036
15	W D Ruan, Lagrangian torus fibration of quintic Calabi–Yau hypersurfaces II: Technical results on gradient flow construction, J. Symplectic Geom. 1 (2002) 435 MR1959057
16	P Seidel, Homological mirror symmetry for the quartic surface arXiv:math.AG/0310414
17	P Seidel, A long exact sequence for symplectic Floer cohomology, Topology 42 (2003) 1003 MR1978046
18	P Seidel, Exact Lagrangian submanifolds in $T^S^n$ and the graded Kronecker quiver*, from: "Different faces of geometry", Int. Math. Ser. (NY) 3 (2004) 349
19	P Seidel, $A_\infty$ –subalgebras and natural transformations, Homology, Homotopy Appl. 10 (2008) 83 MR2426130
20	P Seidel, Fukaya categories and Picard–Lefschetz theory, Zurich Lectures in Advanced Mathematics, European Mathematical Society (2008)
21	P Seidel, Suspending Lefschetz fibrations, with an application to local mirror symmetry, Comm. Math. Phys. 297 (2010) 515 MR2651908
22	N Sheridan, Homological mirror symmetry for Calabi–Yau hypersurfaces in projective space arXiv:1111.0632
23	N Sheridan, On the homological mirror symmetry conjecture for pairs of pants, J. Differential Geom. 89 (2011) 271 MR2863919
24	A Takahashi, Weighted projective lines associated to regular systems of weights of dual type, from: "New developments in algebraic geometry, integrable systems and mirror symmetry (RIMS, Kyoto, 2008)", Adv. Stud. Pure Math. 59, Math. Soc. Japan (2010) 371 MR2683215