Enumerative and asymptotic analysis of a moduli space

Margaret A. Readdy

doi:10.1016/j.aam.2010.12.001

Enumerative and asymptotic analysis of a moduli space

Margaret A. Readdy

Mathematics

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

2 Scopus citations

Abstract

We study exact and asymptotic enumerative aspects of the Hilbert series of the cohomology ring of the moduli space of stable pointed curves of genus zero. This manifold is related to the WDVV (Witten-Dijkgraaf-Verlinde-Verlinde) equations of string theory.

Original language	English
Pages (from-to)	575-588
Number of pages	14
Journal	Advances in Applied Mathematics
Volume	47
Issue number	3
DOIs	https://doi.org/10.1016/j.aam.2010.12.001
State	Published - Sep 2011

Keywords

Asymptotic enumeration
Cohomology of moduli space
Graded Hilbert series
Integral operator
Lambert W function

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aam.2010.12.001

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title = "Enumerative and asymptotic analysis of a moduli space",

abstract = "We study exact and asymptotic enumerative aspects of the Hilbert series of the cohomology ring of the moduli space of stable pointed curves of genus zero. This manifold is related to the WDVV (Witten-Dijkgraaf-Verlinde-Verlinde) equations of string theory.",

keywords = "Asymptotic enumeration, Cohomology of moduli space, Graded Hilbert series, Integral operator, Lambert W function",

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AU - Readdy, Margaret A.

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N2 - We study exact and asymptotic enumerative aspects of the Hilbert series of the cohomology ring of the moduli space of stable pointed curves of genus zero. This manifold is related to the WDVV (Witten-Dijkgraaf-Verlinde-Verlinde) equations of string theory.

AB - We study exact and asymptotic enumerative aspects of the Hilbert series of the cohomology ring of the moduli space of stable pointed curves of genus zero. This manifold is related to the WDVV (Witten-Dijkgraaf-Verlinde-Verlinde) equations of string theory.

KW - Asymptotic enumeration

KW - Cohomology of moduli space

KW - Graded Hilbert series

KW - Integral operator

KW - Lambert W function

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DO - 10.1016/j.aam.2010.12.001

M3 - Article

AN - SCOPUS:79960024921

SN - 0196-8858

VL - 47

SP - 575

EP - 588

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

IS - 3

ER -

Enumerative and asymptotic analysis of a moduli space

Abstract

Keywords

ASJC Scopus subject areas

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