arXiv Analytics

Sign in

arXiv:1305.1960 [math.DG]AbstractReferencesReviewsResources

Edges, Orbifolds, and Seiberg-Witten Theory

Claude LeBrun

Published 2013-05-08Version 1

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, where p is a positive integer, but we conjecture that similar results will also hold in greater generality.

Comments: 54 pages, two figures
Categories: math.DG
Subjects: 53C25, 53C21, 57R18, 57R57
Related articles: Most relevant | Search more
arXiv:0804.4823 [math.DG] (Published 2008-04-30, updated 2016-10-10)
On Einstein Metrics on 4-Manifolds with Finite Cyclic Fundamental Group
arXiv:math/0306022 [math.DG] (Published 2003-06-01)
Monopole classes and Einstein metrics
arXiv:1208.4736 [math.DG] (Published 2012-08-23)
Einstein Metrics from Symmetry and Bundle Constructions: A Sequel

Links

Toolbox