Some applications of the mirror theorem for toric stacks

被引：0

作者：

Coates, Tom ^{[1
]}

Corti, Alessio ^{[1
]}

Iritani, Hiroshi ^{[2
]}

Tseng, Hsian-Hua ^{[3
]}

机构：

[1] Imperial Coll London, Dept Math, 180 Queens Gate, London SW7 2AZ, England

[2] Kyoto Univ, Dept Math, Grad Sch Sci, Sakyo Ku, Kitashirakawa Oiwake Cho, Kyoto 6068502, Japan

[3] Ohio State Univ, Dept Math, 100 Math Tower,231 West 18th AVE, Columbus, OH 43210 USA

来源：

ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS | 2019年 / 23卷 / 03期

基金：

欧洲研究理事会; 英国工程与自然科学研究理事会;

关键词：

GROMOV-WITTEN INVARIANTS; QUANTUM RIEMANN-ROCH; ORBIFOLD CHOW RING; COHOMOLOGY; LEFSCHETZ;

D O I：

暂无

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We use the mirror theorem for toric Deligne-Mumford stacks, proved recently by the authors and by Cheong-Ciocan-Fontanine-Kim, to compute genus-zero Gromov-Witten invariants of a number of toric orbifolds and gerbes. We prove a mirror theorem for a class of complete intersections in toric Deligne-Mumford stacks, and use this to compute genus-zero Gromov-Witten invariants of an orbifold hypersurface.

引用

页码：767 / 802

页数：36

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