Translator Disclaimer
2021 Moduli space of quasimaps from $\mathbb{P}^{1}$ with two marked points to $\mathbb{P}(1,1,1,3)$ and $j$-invariant
Masao JINZENJI, Hayato SAITO
J. Math. Soc. Japan Advance Publication 1-24 (2021). DOI: 10.2969/jmsj/83148314

Abstract

In this paper, we construct toric data of moduli space of quasimaps of degree $d$ from $\mathbb{P}^{1}$ with two marked points to weighted projective space $\mathbb{P}(1,1,1,3)$. 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 $-\log(j(\tau))$.

Citation

Download Citation

Masao JINZENJI. Hayato SAITO. "Moduli space of quasimaps from $\mathbb{P}^{1}$ with two marked points to $\mathbb{P}(1,1,1,3)$ and $j$-invariant." J. Math. Soc. Japan Advance Publication 1 - 24, 2021. https://doi.org/10.2969/jmsj/83148314

Information

Received: 14 August 2019; Revised: 25 March 2020; Published: 2021
First available in Project Euclid: 23 January 2021

Digital Object Identifier: 10.2969/jmsj/83148314

Subjects:
Primary: 14J33
Secondary: 14N35

Rights: Copyright © 2021 Mathematical Society of Japan

JOURNAL ARTICLE
24 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Advance Publication
Back to Top