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.
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页码：1 / 14
页数：14
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