Orientability and real Seiberg-Witten invariants

Gang Tian; Shuguang Wang

doi:10.1142/S0129167X09005455

Orientability and real Seiberg-Witten invariants

Gang Tian, Shuguang Wang

Mathematics

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

5 Scopus citations

Abstract

We investigate the Seiberg-Witten theory in the presence of real structures. Certain conditions are obtained so that integer-valued real Seiberg-Witten invariants can be defined. In general, we study properties of the real Seiberg-Witten projection map from the point of view of Fredholm map degrees.

Original language	English (US)
Pages (from-to)	573-604
Number of pages	32
Journal	International Journal of Mathematics
Volume	20
Issue number	5
DOIs	https://doi.org/10.1142/S0129167X09005455
State	Published - May 2009

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Lifted real structure
Orientability of moduli space
Real Seiberg-Witten theory
Real invariant
Real projection map

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10.1142/S0129167X09005455

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title = "Orientability and real Seiberg-Witten invariants",

abstract = "We investigate the Seiberg-Witten theory in the presence of real structures. Certain conditions are obtained so that integer-valued real Seiberg-Witten invariants can be defined. In general, we study properties of the real Seiberg-Witten projection map from the point of view of Fredholm map degrees.",

keywords = "Lifted real structure, Orientability of moduli space, Real Seiberg-Witten theory, Real invariant, Real projection map",

author = "Gang Tian and Shuguang Wang",

note = "Funding Information: The project was initiated in 2004 when both authors were visiting Mathematical Sciences Research Institute. We thank the institute for providing the excellent environment. Work was partially supported by National Science Foundation grants.",

year = "2009",

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doi = "10.1142/S0129167X09005455",

language = "English (US)",

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T1 - Orientability and real Seiberg-Witten invariants

AU - Tian, Gang

AU - Wang, Shuguang

N1 - Funding Information: The project was initiated in 2004 when both authors were visiting Mathematical Sciences Research Institute. We thank the institute for providing the excellent environment. Work was partially supported by National Science Foundation grants.

PY - 2009/5

Y1 - 2009/5

N2 - We investigate the Seiberg-Witten theory in the presence of real structures. Certain conditions are obtained so that integer-valued real Seiberg-Witten invariants can be defined. In general, we study properties of the real Seiberg-Witten projection map from the point of view of Fredholm map degrees.

AB - We investigate the Seiberg-Witten theory in the presence of real structures. Certain conditions are obtained so that integer-valued real Seiberg-Witten invariants can be defined. In general, we study properties of the real Seiberg-Witten projection map from the point of view of Fredholm map degrees.

KW - Lifted real structure

KW - Orientability of moduli space

KW - Real Seiberg-Witten theory

KW - Real invariant

KW - Real projection map

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EP - 604

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 5

ER -

Orientability and real Seiberg-Witten invariants

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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