Virtual manifolds and localization

Bohui Chen; Gang Tian

doi:10.1007/s10114-010-9538-9

Virtual manifolds and localization

Bohui Chen, Gang Tian

Mathematics

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

9 Scopus citations

Abstract

In this paper, we explore the virtual technique that is very useful in studying the moduli problem from a differential geometric point of view. We introduce a class of new objects "virtual manifolds/orbifolds", on which we develop the integration theory. In particular, the virtual localization formula is obtained.

Original language	English (US)
Pages (from-to)	1-24
Number of pages	24
Journal	Acta Mathematica Sinica, English Series
Volume	26
Issue number	1
DOIs	https://doi.org/10.1007/s10114-010-9538-9
State	Published - Jan 2010

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Keywords

Fredholm system
Localization
Moduli space
Virtual manifolds

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10.1007/s10114-010-9538-9

Cite this

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keywords = "Fredholm system, Localization, Moduli space, Virtual manifolds",

author = "Bohui Chen and Gang Tian",

note = "Funding Information: Received September 15, 2009, Accepted September 28, 2009 The first author is supported by an NSF key project and a 973 project 2006CB805900",

year = "2010",

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AU - Chen, Bohui

AU - Tian, Gang

N1 - Funding Information: Received September 15, 2009, Accepted September 28, 2009 The first author is supported by an NSF key project and a 973 project 2006CB805900

PY - 2010/1

Y1 - 2010/1

N2 - In this paper, we explore the virtual technique that is very useful in studying the moduli problem from a differential geometric point of view. We introduce a class of new objects "virtual manifolds/orbifolds", on which we develop the integration theory. In particular, the virtual localization formula is obtained.

AB - In this paper, we explore the virtual technique that is very useful in studying the moduli problem from a differential geometric point of view. We introduce a class of new objects "virtual manifolds/orbifolds", on which we develop the integration theory. In particular, the virtual localization formula is obtained.

KW - Fredholm system

KW - Localization

KW - Moduli space

KW - Virtual manifolds

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Virtual manifolds and localization

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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