45 citations · 185 across the 12 of their papers we have counts for
16 papers · 1 filter
-theory associated to vertex operator algebras
Chongying Dong, Kefeng Liu, Xiaonan Ma +1
We introduce two -theories, one for vector bundles whose fibers are modules of vertex operator algebras, another for vector bundles whose fibers are modules of associative algeb…
Superconformal vertex algebras in differential geometry. I
Jian Zhou
We show how to construct an N=1 superconformal vertex algebra (SCVA) from any Riemannian manifold. When the Riemannian manifold has special holonomy groups, we discuss the extended…
DGBV Algebras and Mirror Symmetry
Huai-Dong Cao, Jian Zhou
We describe some recent development on the theory of formal Frobenius manifolds via a construction from differential Gerstenhaber-Batalin-Vilkovisk (DGBV) algebras and formulate a…
Calculations of the Hirzebruch genera of symmetric products by the holomorphic Lefschetz formula
Jian Zhou
We calculate the Hirzebruch and -genera of symmetric products of closed complex manifolds by the holomorphic Lefschetz formula of Atiyah and Singer \cite{Ati-Sin}. S…
Delocalized equivariant coholomogy of symmetric products
Jian Zhou
For any closed complex manifold , we calculate the Poincaré and Hodge polynomials of the delocalized equivariant cohomology with a grading specified by physicist…
Rational homotopy types of mirror manifolds
Jian Zhou
We explain how to relate the problem of finding a mirror manifold for a Calabi-Yau manifold to the problem of characterizing the rational homotopy types of closed Kähler manifolds.