19 citations · 31 across the 9 of their papers we have counts for
9 papers
Virasoro Constraints for Orbifold Curves
Jianxun Hu, Pengrong Jin, Hua-Zhong Ke +3
We prove the Virasoro constraints for the relative Gromov--Witten theory of all smooth projective effective orbifold curves, allowing relative conditions at ordinary points. The ab…
Poincaré polynomials of moduli spaces of one-dimensional sheaves on the projective plane
Shuai Guo, Longting Wu, with an appendix by Miguel Moreira
Let denote the moduli space of stable one-dimensional sheaves on a del Pezzo surface , supported on curves of class with Euler characteristic one. We show that the div…
All-genus WDVV recursion, quivers, and BPS invariants
Pierrick Bousseau, Longting Wu
Let be a smooth projective surface and a smooth rational ample divisor in . We prove an all-genus generalization of the genus WDVV equation for primary Gromov--Witte…
A new approach to the operator formalism for Gromov-Witten invariants of the cap and tube
Ajith Urundolil Kumaran, Longting Wu
Based on Johnson's operator formula for the equivariant Gromov-Witten theory of -orbifolds, we give a new approach to the operator formalism by Okounkov and Pandharip…
Holomorphic anomaly equation for and the Nekrasov-Shatashvili limit of local
Pierrick Bousseau, Honglu Fan, Shuai Guo +1
We prove a higher genus version of the genus local-relative correspondence of van Garrel-Graber-Ruddat: for a pair with a smooth projective variety and a nef sm…
Witten-Dijkgraaf-Verlinde-Verlinde equation and its application to relative Gromov-Witten theory
Honglu Fan, Longting Wu
We derive a recursive formula for certain relative Gromov-Witten invariants with maximal tangency condition via the Witten-Dijkgraaf-Verlinde-Verlinde equation. For certain relativ…
Chamber structure for some equivariant relative Gromov-Witten invariants of in genus
Longting Wu
In this paper, we study genus equivariant relative Gromov-Witten invariants of whose corresponding relative stable maps are totally ramified over one point. For…
A Remark on Gromov-Witten Invariants of Quintic Threefold
Longting Wu
The purpose of the article is to give a proof of a conjecture of Maulik and Pandharipande for genus 2 and 3. As a result, it gives a way to determine Gromov-Witten invariants of th…
Effect of a crossing change on crossing number
Longting Wu, Shuting Shao, Shan Liu +1
The purpose of this article is to give a preliminary clarification on the relation between crossing number and crossing change. With a main focus on the span of X polynomial, we pr…