56 citations · 642 across the 79 of their papers we have counts for
6 papers · 1 filter
On Quantum de Rham Cohomology
Huai-Dong Cao, Jian Zhou
We define quantum exterior product wedge_h and quantum exterior differential d_h on Poisson manifolds, of which symplectic manifolds are an important class of examples. Quantum de…
Identification of Two Frobenius Manifolds In Mirror Symmetry
Huai-Dong Cao, Jian Zhou
We identify two Frobenius manifolds obtained from two different differential Gerstenhaber-Batalin-Vilkovisky algebras on a compact Kaehler manifold. One is constructed on the Dolbe…
Frobenius Manifold Structure on Dolbeault Cohomology and Mirror Symmetry
Huai-Dong Cao, Jian Zhou
We construct a differential Gerstenhaber-Batalin-Vilkovisky algebra from Dolbeault complex of any close Kaehler manifold, and a Frobenius manifold structure on Dolbeault cohomology…
On Quantum de Rham Cohomology Theory
Huai-Dong Cao, Jian Zhou
We define quantum exterior product wedge_h and quantum exterior differential d_h on Poisson manifolds (of which symplectic manifolds are an important class of examples). Quantum de…
Equivariant Cohomology and Wall Crossing Formulas in Seiberg-Witten Theory
Huai-Dong Cao, Jian Zhou
We use localization formulas in the theory of equivariant cohomology to rederive the wall crossing formulas of Li-Liu and Okonek-Teleman for Seiberg-Witten invariants.
Degenerate Chern-Weil Theory and Equivariant Cohomology
Huai-Dong Cao, Jian Zhou
We develop a Chern-Weil theory for compact Lie group action whose generic stabilizers are finite in the framework of equivariant cohomology. This provides a method of changing an e…