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

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

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 (US)
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
State	Published - 2007

Keywords

Donaldson-Thomas invariant
Ideal sheaves
Moduli spaces

ASJC Scopus subject areas

General Mathematics

Online availability

10.4310/mrl.2007.v14.n3.a5

Library availability

Discover UIUC Full Text

Cite this

@article{743aaefd0e554873aabb2a106a5b8b74,

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",

doi = "10.4310/mrl.2007.v14.n3.a5",

language = "English (US)",

volume = "14",

pages = "403--411",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press, Inc.",

number = "2-3",

}

TY - JOUR

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 - http://www.scopus.com/inward/record.url?scp=34547459471&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547459471&partnerID=8YFLogxK

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

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

M3 - Article

AN - SCOPUS:34547459471

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

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this