Casson--type invariants in dimension four
Geometric Topology
2007-05-23 v1
Abstract
This article surveys our ongoing project about the relationship between invariants extending the classical Rohlin invariant of homology spheres and those coming from 4-dimensional (Yang-Mills) gauge theory. The main conjecture towards which this project is directed is that the Rohlin invariant and the gauge theoretic invariant coincide for a homology . We discuss the implications of this conjecture for some classical problems in low-dimensional topology, and progress we have made towards proving the conjecture.
Cite
@article{arxiv.math/0501090,
title = {Casson--type invariants in dimension four},
author = {Daniel Ruberman and Nikolai Saveliev},
journal= {arXiv preprint arXiv:math/0501090},
year = {2007}
}
Comments
30 pages, 5 figures. To appear in Proceedings of the Fields-McMaster Conference on Geometry and Topology of Manifolds