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

General Mathematics
Applied Mathematics

Keywords

Fredholm system
Localization
Moduli space
Virtual manifolds

Access to Document

10.1007/s10114-010-9538-9

Cite this

@article{5bc05f1055df4faca23148172e0e4709,

title = "Virtual manifolds and localization",

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.",

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",

month = jan,

doi = "10.1007/s10114-010-9538-9",

language = "English (US)",

volume = "26",

pages = "1--24",

journal = "Acta Mathematica Sinica, English Series",

issn = "1439-8516",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - Virtual manifolds and localization

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

UR - https://www.scopus.com/pages/publications/74849123250

UR - https://www.scopus.com/pages/publications/74849123250#tab=citedBy

U2 - 10.1007/s10114-010-9538-9

DO - 10.1007/s10114-010-9538-9

M3 - Article

AN - SCOPUS:74849123250

SN - 1439-8516

VL - 26

SP - 1

EP - 24

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 1

ER -

Virtual manifolds and localization

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this