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A mathematical theory of the topological vertex

- Jun Li, Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou
- Mathematics
- 31 August 2004

We have developed a mathematical theory of the topological vertex--a theory that was original proposed by M. Aganagic, A. Klemm, M. Marino, and C. Vafa in hep-th/0305132 on effectively computing… Expand

Topological string partition functions as equivariant indices

- Jun Li, Kefeng Liu, Jian Zhou
- Mathematics
- 4 December 2004

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 for some local… Expand

Explicit Formula for Witten-Kontsevich Tau-Function

- Jian Zhou
- Mathematics
- 23 June 2013

We present an explicit formula for Witten-Kontsevich tau-function.

A formula of two-partition Hodge integrals

- Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou
- Mathematics
- 17 October 2003

JMg,n where tpi = ci(L?) is the first Chern class of L?, and Xj = Cj(E) is the j-th Chern class of the Hodge bundle. The study of Hodge integrals is an important part of intersection theory on Mg,n>… Expand

Emergent Geometry and Mirror Symmetry of A Point

- Jian Zhou
- Physics
- 7 July 2015

By considering the partition function of the topological 2D gravity, a conformal field theory on the Airy curve emerges as the mirror theory of Gromov-Witten theory of a point. In particular, a… Expand

Local Mirror Symmetry for One-Legged Topological Vertex

- Jian Zhou
- Mathematics
- 22 October 2009

We prove the Bouchard-Mari\~no Conjecture for the framed one-legged topological vertex by deriving the Eynard-Orantin type recursion relations from the cut-and-join equation satisfied by the relevant… Expand

A Conjecture on Hodge Integrals

- Jian Zhou
- Mathematics
- 18 October 2003

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 calculations of… Expand

Orbifold Hodge numbers of the wreath product orbifolds

- Weiqiang Wang, Jian Zhou
- Mathematics
- 12 May 2000

Curve counting and instanton counting

- Jian Zhou
- Mathematics
- 14 November 2003

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 geometries obtained by… Expand

A Proof of a Conjecture of Marino-Vafa on Hodge Integrals

- Chiu-Chu Melissa Liu, Kefeng Liu, Jian Zhou
- Mathematics
- 17 June 2003

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 relative stable morphisms.

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