Mirror symmetry of Abelian varieties and multi-theta functions

Journal of Algebraic Geometry

Volumn 11, Issue 3, 2002, Pages 393-512

  Fukaya, Kenji ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036016184     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: 10.1090/S1056-3911-02-00329-6     Document Type: Article

References (64)

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3. The instrinsic normal cone
4. Framed triangulated categories
5. Automorphic forms with singularities on Grassmannians
6. A pair of Calabi-Yau manifolds as an exactly soluble superconformal field theory
7. Lagrangian tori in a symplectic vector space and global symplectomorphisms
8. Irrationality and h-cobordism conjecture
9. Morse theory for Lagrangian intersectoins
10. ∞-categories, and Floer homologies
11. Floer homology of connected sum of homology 3-spheres
12. Morse homotopy and its quantization
13. Floer homology and mirror symmetry I
14. Floer homology and mirror symmetry II
15. Floer homology for families - Report of a project in progress
16. Zero-loop open strings in the cotangent bundle and Morse homotopy
17. Arnold conjecture and Gromov-Witten invariants
18. Arnold conjecture and Gromov-Witten invariants for general symplectic manifolds
19. ∞ algebra and cyclic bar complex
20. Equivariant Gromov-Witten invariants
21. + = 1
22. Pseudoholomorphic curves in symplectic geometry
23. Residues and duality
24. Fourier integral operator 1
25. Sheaves on manifolds
26. Homological algebra of mirror symmetry
27. Complex Abelian varieties
28. Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds
29. Mirror principle I
30. Floer homology and Arnold conjecture
31. Three constructions of Frobenius manifolds
32. J-holomorphic curves and quantum cohomology
33. Semi-homogeneons vector bundles on an Abelian variety
34. Duality between D(X) and D(X???) with its application to Picard sheaves
35. Multivalued functions and functional - An analogue of the Morse theory
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37. Symplectic Floer-Donaldson theory and quantum cohomology
38. Tasi lectures on D-branes
39. Categorical mirror symmetry: The elliptic curve
40. Virtual neighborhood and pseudoholomorphic curves
41. Bott-type symplectic Floer cohomology and its multiplicative structure
42. Graded Lagrangian submanifolds
43. Homotopy associativity of H-spaces I, II
44. Deformation theory and the Batalin-Vilkovsky master equation
45. Mirror symmetry is T-duality
46. Extending mirror conjecture to Calabi-Yau with bundles