Quantum Periods, I: Semi-Infinite Variations of Hodge Structures

International Mathematics Research Notices

Volumn 2001, Issue 23, 2001, Pages 1243-1264

  Barannikov, Serguei ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009916976     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1073792801000599     Document Type: Article

References (9)

1. [B1] S. Barannikov, Generalized periods and mirror symmetry in dimensions n > 3, preprint, http://arXiv.org/abs/math.AG/9903124
2. [B2] _, Quantum periods, II, in preparation.
3. [B3] _, Semi-infinite Hodge structures and mirror symmetry for projective spaces, preprint, http://arXiv.org/abs/math.AG/0010157
4. [BK] S. Barannikov and M. Kontsevich, Frobenius manifolds and formality of Lie algebras of polyvector fields, Internat. Math. Res. Notices 1998, 201-215.
5. [COGP] P. Candelas, X. C. de la Ossa, P. S. Green, and L. Parkes, A pair of Calabi-Yau manifolds as an exactly soluble superconformal field theory, Nuclear Physics B 359 (1991), 21-74.
6. [G] A. Givental, Equivariant Gromov-Witten invariants, Internat. Math. Res. Notices 1996, 613-663.
7. [K1] M. Kontsevich, "Homological algebra of mirror symmetry" in Proceedings of the International Congress of Mathematicians (Zürich, 1994), Vols. 1, 2, Birkhäuser, Basel, 1995, 120-139.
8. [K2] _, Deformation quantization of Poisson manifolds, I, preprint, http://arXiv.org/abs/qalg/9709040
9. [KM] M. Kontsevich and Yu. Manin, Gromov-Witten classes, quantum cohomology, and enumerative geometry, Comm. Math. Phys. 164 (1994), 525-562.