34 citations · 91 across the 12 of their papers we have counts for
5 papers · 1 filter
Shafarevich's Conjecture for CY Manifolds I
Kefeng Liu, Andrey Todorov, Shing-Tung Yau +1
In this paper we first study the moduli spaces related to Calabi-Yau manifolds. We then apply the results to the following problem. Let be a fixed Riemann surface with fixed fi…
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…
Mathematical results inspired by physics
Kefeng Liu
I will discuss results of three different types in geometry and topology. (1) General vanishing and rigidity theorems of elliptic genera proved by using modular forms, Kac-Moody al…