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：

英国工程与自然科学研究理事会; 欧洲研究理事会;

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

共 40 条

[31] THE ORBIFOLD COHOMOLOGY RING OF SIMPLICIAL TORIC STACK BUNDLES [J].

Jiang, Yunfeng .

ILLINOIS JOURNAL OF MATHEMATICS, 2008, 52 (02) :493-514

[32] Multi-point virtual structure constants and mirror computation of CP2-model [J].

Jinzenji, Masao ;

Shimizu, Masahide .

COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2013, 7 (03) :411-468

[33] Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee [J].

Kim, B ;

Kresch, A ;

Pantev, T .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2003, 179 (1-2) :127-136

[34]

Liu Chiu-Chu Melissa, 2013, Adv. Lect. Math. (ALM), V25, P353

[35]

Pandharipande R, 1998, ASTERISQUE, P307

[36] A Reconstruction theorem for genus zero Gromov-Witten invariants of stacks [J].

Rose, Michael A. .

AMERICAN JOURNAL OF MATHEMATICS, 2008, 130 (05) :1427-1443

[37] Orbifold quantum Riemann-Roch, Lefschetz and Serre [J].

Tseng, Hsian-Hua .

GEOMETRY & TOPOLOGY, 2010, 14 (01) :1-81

[38]

Woodward Chris T., 2012, ARXIV12041765MATHAG

[39]

Woodward Chris T., 2014, ARXIV14085869MATHAG

[40]

Woodward Chris T., 2014, ARXIV14085864MATHAG

← 1 2 3 4 →