50 citations · 318 across the 20 of their papers we have counts for
9 papers · 1 filter
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…
A Formula of Two-Partition Hodge Integrals
Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou
We prove a formula conjectured by the third author expressing certain Hodge integrals in terms of certain Chern-Simons link invariants. Such invariants also arise in the representa…
Hodge integrals, Hurwitz numbers, and Symmetric Groups
Jian Zhou
We prove some combinatorial results related to a formula on Hodge integrals conjectured by Mariño and Vafa. These results play important roles in the proof and applications of this…