Semi-infinite A-variations of Hodge structure over extended Kahler cone

Details Semi-infinite A-variations of Hodge structure over extended Kahler cone Semi-infinite A-variations of Hodge structure over extended Kahler cone

2000-12-04

arxiv.org/abs/math/0012025v2

Intern. Math. Research Notices 21 (2001) 1111-1139

Mathematics

Algebraic Geometry

24 pages; small corrections

Scientific paper

This is an expanded comment on Barannikov's paper math.AG/0006193. A
symplectic version of his construction is discussed. It is shown that the
duality transformation for mirror torus fibrations over the same Monge-Ampere
manifold exchanges semi-infinite A-variations of Hodge structure introduced in
this paper with Barannikov's semi-infinite B-variations of Hodge structure.

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