A-infinity GL(N)-equivariant matrix integrals-III. Tree-level calculations and variations of nc-Hodge structure on complex projective manifolds.

Serguei Barannikov (1)

1 IMJ - Institut de Mathématiques de Jussieu

I describe the tree-level limit of my noncommutative Batalin-Vilkovisky formalism. In the case corresponding to the CY smooth projective varieties it corresponds to the variations of nc-Hodge structures over extended moduli spaces, i.e. variations of the semi-infinite subspace HC^- in HP, described in my paper hal-00430505 (06/2000).

Mots clés: Calabi-Yau; Moduli spaces; Deformations; Batalin-Vilkovisky formalism

Domaines: Géométrie algébrique [math.AG]; Algèbres quantiques [math.QA]

Serguei Barannikov. A-infinity GL(N)-equivariant matrix integrals-III. Tree-level calculations and variations of nc-Hodge structure on complex projective manifolds.. D-branes, Effective Actions and Homological Mirror Symmetry, Jun 2010, Vienna, Austria. ⟨hal-00494633⟩