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

Masao Jinzenji, Hayato Saito

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)995-1018
Number of pages24
JournalJournal of the Mathematical Society of Japan
Volume73
Issue number4
DOIs
Publication statusPublished - 2021

Keywords

  • J-invariant
  • Mirror symmetry
  • Moduli space of quasimaps

ASJC Scopus subject areas

  • General Mathematics

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