On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants

Sheldon Katz; Wei Ping Li; Zhenbo Qin

doi:10.4310/mrl.2007.v14.n3.a5

On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants

Sheldon Katz^*, Wei Ping Li, Zhenbo Qin

^*Corresponding author for this work

Department of Mathematics

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

1 Citation (Scopus)

Abstract

We determine the structure of certain moduli spaces of ideal sheaves by generalizing an earlier result of the first author. As applications, we compute the (virtual) Hodge polynomials of these moduli space, and calculate the Donaldson-Thomas invariants of certain 3-folds with trivial canonical classes.

Original language	English
Pages (from-to)	403-411
Number of pages	9
Journal	Mathematical Research Letters
Volume	14
Issue number	2-3
DOIs	https://doi.org/10.4310/mrl.2007.v14.n3.a5
Publication status	Published - 2007

Keywords

Donaldson-Thomas invariant
Ideal sheaves
Moduli spaces

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10.4310/mrl.2007.v14.n3.a5

Cite this

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title = "On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants",

abstract = "We determine the structure of certain moduli spaces of ideal sheaves by generalizing an earlier result of the first author. As applications, we compute the (virtual) Hodge polynomials of these moduli space, and calculate the Donaldson-Thomas invariants of certain 3-folds with trivial canonical classes.",

keywords = "Donaldson-Thomas invariant, Ideal sheaves, Moduli spaces",

author = "Sheldon Katz and Li, \{Wei Ping\} and Zhenbo Qin",

year = "2007",

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T1 - On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants

AU - Katz, Sheldon

AU - Li, Wei Ping

AU - Qin, Zhenbo

PY - 2007

Y1 - 2007

N2 - We determine the structure of certain moduli spaces of ideal sheaves by generalizing an earlier result of the first author. As applications, we compute the (virtual) Hodge polynomials of these moduli space, and calculate the Donaldson-Thomas invariants of certain 3-folds with trivial canonical classes.

AB - We determine the structure of certain moduli spaces of ideal sheaves by generalizing an earlier result of the first author. As applications, we compute the (virtual) Hodge polynomials of these moduli space, and calculate the Donaldson-Thomas invariants of certain 3-folds with trivial canonical classes.

KW - Donaldson-Thomas invariant

KW - Ideal sheaves

KW - Moduli spaces

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000247661900020

UR - https://openalex.org/W1970622622

UR - https://www.scopus.com/pages/publications/34547459471

U2 - 10.4310/mrl.2007.v14.n3.a5

DO - 10.4310/mrl.2007.v14.n3.a5

M3 - Journal Article

SN - 1073-2780

VL - 14

SP - 403

EP - 411

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 2-3

ER -

On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants

Abstract

Keywords

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