1 citations · 1 across the 5 of their papers we have counts for
6 papers
On leading Gopakumar--Vafa invariants of local and leading Betti numbers of moduli spaces of one-dimensional sheaves on
Zhiyuan Wang, Chenglang Yang
In this paper we use the topological vertex formalism to derive a structural formula for the leading terms of the generating series of Gromov--Witten invariants of local $\mathbb P…
Total partition function with fermionic number fluxes of local toric Calabi--Yau threefold and KP integrability
Zhiyuan Wang, Chenglang Yang, Jian Zhou
Aganagic, Dijkgraaf, Klemm, Mariño and Vafa \cite{adkmv} predicted that the open string partition function on a smooth toric Calabi--Yau threefold should be a tau-function of multi…
On -Coefficient Binomial Polynomiality of Hurwitz Numbers and Generalized Dessin Counting
Zhiyuan Wang, Chenglang Yang
In this paper, we study a certain type of Hurwitz numbers which count branched covers over the Riemann sphere admitting several branch points with fixed ramification types, one bra…
Möbius Inversion and Duality for Summations of Stable Graphs
Zhiyuan Wang, Jian Zhou
Using the stratifications of Deligne-Mumford moduli spaces indexed by stable graphs, we introduce a partially ordered set of stable graphs by defining…
On a Proof of the ADKMV Conjecture -- -KP Integrability of the Topological Vertex
Zhiyuan Wang, Chenglang Yang, Jian Zhou
We present a mathematical proof of the Aganagic-Dijkgraaf-Klemm-Mariño-Vafa Conjecture proposed in 2006, which states that the generating function of the topological vertex, i.e.,…
Topological 1D Gravity, KP Hierarchy, and Orbifold Euler Characteristics of
Zhiyuan Wang, Jian Zhou
In this work we study the tau-function of the KP hierarchy specified by the topological 1D gravity. As an application, we present two types of algorithms to compute the or…