Moduli space of quasimaps from P1 with two marked points to P(1, 1, 1, 3) and j-invariant

Masao Jinzenji; Hayato Saito

doi:10.2969/jmsj/83148314

Moduli space of quasimaps from P¹ with two marked points to P(1, 1, 1, 3) and j-invariant

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we construct toric data of moduli space of quasimaps of degree d from P¹ 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(T)).

Original language	English
Pages (from-to)	995-1018
Number of pages	24
Journal	Journal of the Mathematical Society of Japan
Volume	73
Issue number	4
DOIs	https://doi.org/10.2969/jmsj/83148314
Publication status	Published - 2021

Keywords

J-invariant
Mirror symmetry
Moduli space of quasimaps

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.2969/jmsj/83148314

Cite this

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title = "Moduli space of quasimaps from P1 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 quasimaps of degree d from P1 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(T)).",

keywords = "J-invariant, Mirror symmetry, Moduli space of quasimaps",

author = "Masao Jinzenji and Hayato Saito",

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T1 - Moduli space of quasimaps from P1 with two marked points to P(1, 1, 1, 3) and j-invariant

AU - Jinzenji, Masao

AU - Saito, Hayato

PY - 2021

Y1 - 2021

N2 - In this paper, we construct toric data of moduli space of quasimaps of degree d from P1 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(T)).

AB - In this paper, we construct toric data of moduli space of quasimaps of degree d from P1 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(T)).

KW - J-invariant

KW - Mirror symmetry

KW - Moduli space of quasimaps

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