Seiberg-Witten invariants the topological degree and wall crossing formula

Maciej Starostka

Seiberg-Witten invariants the topological degree and wall crossing formula

Abstract

Following S. Bauer and M. Furuta we investigate finite dimensional approximations of a monopole map in the case b 1 = 0. We define a certain topological degree which is exactly equal to the Seiberg-Witten invariant. Using homotopy invariance of the topological degree a simple proof of the wall crossing formula is derived.

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Maciej Starostka dr inż.

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: Central European Journal of Mathematics no. 10, pages 2129 - 2137,
ISSN: 1895-1074
Language:: English
Publication year:: 2012
Bibliographic description:: Starostka M.: Seiberg-Witten invariants the topological degree and wall crossing formula// Central European Journal of Mathematics. -Vol. 10, nr. Iss. 6 (2012), s.2129-2137
Verified by:: Gdańsk University of Technology