English

ASD moduli spaces over four-manifolds with tree-like ends

Geometric Topology 2014-11-11 v1 Symplectic Geometry

Abstract

In this paper we construct Riemannian metrics and weight functions over Casson handles. We show that the corresponding Atiyah-Hitchin-Singer complexes are Fredholm for some class of Casson handles of bounded type. Using these, the Yang-Mills moduli spaces are constructed as finite dimensional smooth manifolds over Casson handles in the class.

Cite

@article{arxiv.math/0405443,
  title  = {ASD moduli spaces over four-manifolds with tree-like ends},
  author = {Tsuyoshi Kato},
  journal= {arXiv preprint arXiv:math/0405443},
  year   = {2014}
}

Comments

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper21.abs.html