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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…
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…