45 citations · 185 across the 12 of their papers we have counts for
27 papers
On a deformed topological vertex
Jian Zhou
We introduce a deformed topological vertex and use it to define deformations of the topological string partition functions of some local Calabi-Yau geometries. We also work out som…
Topological String Partition Functions as Equivariant Indices
Jun Li, Kefeng Liu, Jian Zhou
We propose to use the identification of topological string partition functions as equivariant indices on framed moduli spaces of instantons to study the Gopakumar-Vafa conjecture f…
Elliptic Genera of Complete Intersections
Xiaoguang Ma, Jian Zhou
We propose a new definition of the elliptic genera for complete intersections, not necessarily nonsingular, in projective spaces. We also prove they coincide with the expressions o…
-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…
Curve counting and instanton counting
Jian Zhou
We prove some combinatorial results required for the proof of the following conjecture of Nekrasov: The generating function of closed string invariants in local Calabi-Yau geometri…
Hodge Integrals and Integrable Hierarchies
Jian Zhou
We show that the generating series of some Hodge integrals involving one or two partitions are tau-functions of the KP hierarchy or the 2-Toda hierarchy respectively. We also formu…