Open Access
July, 2015 Edges, orbifolds, and Seiberg–Witten theory
Claude LEBRUN
J. Math. Soc. Japan 67(3): 979-1021 (July, 2015). DOI: 10.2969/jmsj/06730979

Abstract

Seiberg–Witten theory is used to obtain new obstructions to the existence of Einstein metrics on 4-manifolds with conical singularities along an embedded surface. In the present article, the cone angle is required to be of the form $2\pi /p$, $p$ a positive integer, but we conjecture that similar results will also hold in greater generality.

Citation

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Claude LEBRUN. "Edges, orbifolds, and Seiberg–Witten theory." J. Math. Soc. Japan 67 (3) 979 - 1021, July, 2015. https://doi.org/10.2969/jmsj/06730979

Information

Published: July, 2015
First available in Project Euclid: 5 August 2015

zbMATH: 1328.53054
MathSciNet: MR3376575
Digital Object Identifier: 10.2969/jmsj/06730979

Subjects:
Primary: 53C25
Secondary: 53C21 , 57R18 , 57R57

Keywords: edge-cone metric , Einstein metric , orbifold , Scalar curvature , Seiberg–Witten invariant , Weyl curvature

Rights: Copyright © 2015 Mathematical Society of Japan

Vol.67 • No. 3 • July, 2015
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