2 citations · 3 across the 3 of their papers we have counts for
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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…
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…
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…
Localizations on Moduli Spaces and Free Field Realizations of Feynman Rules
Jian Zhou
We prove Iqbal's conjecture on the relationship between the free energy of closed string theory in local toric geometry and the Wess-Zumino-Witten model. This is achieved by first…
A Conjecture on Hodge Integrals
Jian Zhou
We propose a conjectural formula expressing the generating series of some Hodge integrals in terms of representation theory of Kac-Moody algebras. Such generating series appear in…