56 citations · 642 across the 79 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…
Mariño-Vafa Formula and Hodge Integral Identities
Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou
In this note we derive some consequences from the Mariño-Vafa formula and the cut-and-join equation, these include unified simple proofs of the conjecture and some other Hodg…
On a Proof of a Conjecture of Marino-Vafa on Hodge Integrals
Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou
We outline a proof of a remarkable formula for Hodge integrals conjectured by Marino and Vafa in hep-th/0108064 base on large N duality.
A Proof of a Conjecture of Marino-Vafa on Hodge Integrals
Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou
We prove a remarkable formula for Hodge integrals conjectured by Marino and Vafa based on large N duality, using functorial virtual localization on certain moduli spaces of relativ…