Open Access
October, 2016 The perturbation of the Seiberg–Witten equations revisited
Mikio FURUTA, Shinichiroh MATSUO
J. Math. Soc. Japan 68(4): 1655-1668 (October, 2016). DOI: 10.2969/jmsj/06841655

Abstract

We introduce a new class of perturbations of the Seiberg–Witten equations. Our perturbations offer flexibility in the way the Seiberg–Witten invariants are constructed and also shed a new light to LeBrun's curvature inequalities.

Citation

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Mikio FURUTA. Shinichiroh MATSUO. "The perturbation of the Seiberg–Witten equations revisited." J. Math. Soc. Japan 68 (4) 1655 - 1668, October, 2016. https://doi.org/10.2969/jmsj/06841655

Information

Published: October, 2016
First available in Project Euclid: 24 October 2016

zbMATH: 1377.57031
MathSciNet: MR3564446
Digital Object Identifier: 10.2969/jmsj/06841655

Subjects:
Primary: 57R57
Secondary: 53C21

Keywords: Scalar curvature , Seiberg–Witten equations , self-dual Weyl curvature

Rights: Copyright © 2016 Mathematical Society of Japan

Vol.68 • No. 4 • October, 2016
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