On semisimplicity of quantum cohomology of P1-orbifolds

被引：1

作者：

Ke, Hua-Zhong ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2019年 / 144卷

基金：

中国国家自然科学基金;

关键词：

Quantum cohomology; Orbi-curve; Dubrovin's conjecture; GROMOV-WITTEN THEORY;

D O I：

10.1016/j.geomphys.2019.05.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a P-1-orbifold C, we prove that its big quantum cohomology is generically semisimple. As a corollary, we verify a conjecture of Dubrovin for orbi-curves. We also show that the small quantum cohomology of C is generically semisimple iff C is Fano, i.e. it has positive orbifold Euler characteristic. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：1 / 14

页数：14

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