Moduli Space of Quasi-Maps from P^{1} with Two Marked Points to P(1,1,1,3) and j-invariant

Abstract

In this paper, we construct toric data of moduli space of quasi maps of degree $d$ from P^{1} with two marked points to weighted projective space P(1.1,1,3). With this result, we prove that the moduli space is a compact toric orbifold. We also determine its Chow ring. Moreover, we give a proof of the conjecture proposed by Jinzenji that a series of intersection numbers of the moduli spaces coincides with expansion coefficients of inverse function of -log(j(tau)).

22 pages, minor errors are corrected, references are added, some comments are added in Introduction

References in corpus (1)

• Mirror Map as Generating Function of Intersection Numbers: Toric Manifolds with Two Kähler Forms

Cited by in corpus (1)

• Period Integrals (Givental's I-function) of Calabi-Yau Hypersurface in $C{P}^{N-1}$ and Intersection Numbers of Moduli Space of Quasimaps from $C{P}^1$ with Two Marked Points to $C{P}^{N-1}$