Quadratic Recursion Relations of Hodge Integrals via Localization

Gang Tian; Jian Zhou

doi:10.1007/s10114-003-0260-8

Quadratic Recursion Relations of Hodge Integrals via Localization

Gang Tian, Jian Zhou

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	209-232
Number of pages	24
Journal	Acta Mathematica Sinica, English Series
Volume	19
Issue number	2
DOIs	https://doi.org/10.1007/s10114-003-0260-8
State	Published - Apr 2003

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

BPS numbers
Hodge integrals
Localization

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10.1007/s10114-003-0260-8

Cite this

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title = "Quadratic Recursion Relations of Hodge Integrals via Localization",

abstract = "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 nβg in Gopakumar-Vafa's formula for all g in this case.",

keywords = "BPS numbers, Hodge integrals, Localization",

author = "Gang Tian and Jian Zhou",

year = "2003",

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doi = "10.1007/s10114-003-0260-8",

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T1 - Quadratic Recursion Relations of Hodge Integrals via Localization

AU - Tian, Gang

AU - Zhou, Jian

PY - 2003/4

Y1 - 2003/4

N2 - 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 nβg in Gopakumar-Vafa's formula for all g in this case.

AB - 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 nβg in Gopakumar-Vafa's formula for all g in this case.

KW - BPS numbers

KW - Hodge integrals

KW - Localization

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M3 - Article

AN - SCOPUS:1442329620

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JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 2

ER -

Quadratic Recursion Relations of Hodge Integrals via Localization

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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