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Quadratic Recursion Relations of Hodge Integrals via Localization

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Tian Gang 1   Zhou Jian 2  
文摘 We derive some quadratic recursion relations for some Hodge integrals by virtual localization and obtain many closed formulas. We apply our formulas to the local geometry of toric Fano surfaces in a Calabi-Yau threefold and compute some of the numbers n_β~g in Gopakumar-Vafa's formula for all g in this case.
来源 Acta Mathematica Sinica. English Series ,2003,19(2):209-232 【核心库】
DOI 10.1007/s10114-003-0260-8
关键词 Localization ; Hodge integrals ; BPS numbers
地址

1. Department of Mathematics, Massachusetts Institute, of Techonlogy, Cambridge, MA 02139, USA  

2. Department of Mathematical Sciences, Tsinghua University, 北京, 100084

语种 英文
文献类型 研究性论文
ISSN 1439-8516
学科 数学
文献收藏号 CSCD:1577565

参考文献 共 29 共2页

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引证文献 1

1 卢文轩 Marino-Vafa公式的一个注记 中国科学. A辑, 数学,2005,35(11):1276-1287
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