Volume 10, issue 2 (2006)

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Homogeneous coordinate rings and mirror symmetry for toric varieties

Mohammed Abouzaid

Geometry & Topology 10 (2006) 1097–1156
Bibliography
1 A A Beĭlinson, Coherent sheaves on $\mathbf{P}^{n}$ and problems in linear algebra, Funktsional. Anal. i Prilozhen. 12 (1978) 68 MR509388
2 V De Silva, Products in the symplectic Floer homology of Lagrangian intersections, PhD thesis, Oxford University (1998)
3 S K Donaldson, Symplectic submanifolds and almost-complex geometry, J. Differential Geom. 44 (1996) 666 MR1438190
4 M Einsiedler, M Kapranov, D Lind, Non-archimedean amoebas and tropical varieties arXiv:math.AG/0408311
5 Y Eliashberg, M Gromov, Convex symplectic manifolds, from: "Several complex variables and complex geometry, Part 2 (Santa Cruz, CA, 1989)", Proc. Sympos. Pure Math. 52, Amer. Math. Soc. (1991) 135 MR1128541
6 A Floer, Morse theory for Lagrangian intersections, J. Differential Geom. 28 (1988) 513 MR965228
7 A Floer, H Hofer, D Salamon, Transversality in elliptic Morse theory for the symplectic action, Duke Math. J. 80 (1995) 251 MR1360618
8 K Fukaya, Y G Oh, Zero-loop open strings in the cotangent bundle and Morse homotopy, Asian J. Math. 1 (1997) 96 MR1480992
9 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory - anomaly and obstruction, unpublished manuscript (2000)
10 W Fulton, Introduction to toric varieties, Annals of Mathematics Studies 131, Princeton University Press (1993) MR1234037
11 I M Gel’fand, M M Kapranov, A V Zelevinsky, Discriminants, resultants, and multidimensional determinants, Mathematics: Theory & Applications, Birkhäuser (1994) MR1264417
12 M Kontsevich, Lectures at ENS Paris, Spring 1998
13 M Kontsevich, Homological algebra of mirror symmetry, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994)", Birkhäuser (1995) 120 MR1403918
14 N C Leung, Mirror symmetry without corrections, arXiv:math.DG/0009235
15 G Mikhalkin, Decomposition into pairs-of-pants for complex algebraic hypersurfaces, Topology 43 (2004) 1035 MR2079993
16 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
17 H Rullgård, Polynomial amoebas and convexity, preprint, Stockholm University (2001)
18 P Seidel, Graded Lagrangian submanifolds, Bull. Soc. Math. France 128 (2000) 103 MR1765826