Quantum periods - I. Semi-infinite variations of Hodge structures.
Barannikov, Serguei
HAL, hal-00430505 / Harvested from HAL
Text on HAL
We introduce a generalization of variations of Hodge structures living over moduli spaces of non-commutative deformations of complex manifolds. Hodge structure associated with a point of such moduli space is an element of Sato type grassmanian of semi-infinite subspaces in H^*(X,C)[[h^{-1},h]]. Periods associated with such semi-infinite Hodge structures serve in order to extend mirror symmetry relations in dimensions greater then three. (arXiv:math/0006193)
Publié le : 2000-06-26
Classification:  nc-Hodge theory,  mirror symmetry,  Calabi-Yau manifolds,  A-infinity categories,  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00430505,
     author = {Barannikov, Serguei},
     title = {Quantum periods - I. Semi-infinite variations of Hodge structures.},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00430505}
}

Barannikov, Serguei. Quantum periods - I. Semi-infinite variations of Hodge structures.. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00430505/