Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ1

IF 0.9 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2022-02-22 DOI:10.2140/ant.2022.16.1

Zijun Zhou, Zhengyu Zong

引用次数: 0

Abstract

We compute the relative orbifold Gromov–Witten invariants of [C/Zn+1]× P , with respect to vertical fibers. Via a vanishing property of the Hurwitz–Hodge bundle, 2-point rubber invariants are calculated explicitly using Pixton’s formula for the double ramification cycle, and the orbifold quantum Riemann–Roch. As a result parallel to its crepant resolution counterpart for An, the GW/DT/Hilb/Sym correspondence is established for [C/Zn+1]. The computation also implies the crepant resolution conjecture for relative orbifold Gromov–Witten theory of [C/Zn+1]× P .

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Gromov–Witten[ℂ2∕ℤn+1]×ℙ1.

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

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