S. A. Merkulov
Published 2000-12-04, updated 2000-12-27Version 2
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.
Comments: 24 pages; small corrections
Journal: Intern. Math. Research Notices 21 (2001) 1111-1139
Schubert varieties as variations of Hodge structure
Degenerations of Hodge structure
Opposite filtrations, variations of Hodge structure, and Frobenius modules
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