Mutation and Gauge Theory I: Yang-Mills Invariants
dg-ga
2007-05-23 v1 Differential Geometry
Geometric Topology
Quantum Algebra
q-alg
Abstract
Mutation is an operation on 3-manifolds containing an embedded surface of genus 2. It is defined by cutting along the surface and regluing using the `hyperelliptic' involution, and is known to preserve many 3-manifold invariants. I show that mutation of a homology 3-sphere preserves its (instanton) Floer homology, and that a related operation on 4-manifolds preserves the Donaldson invariants. A companion article (in preparation) will treat invariants based on the Seiberg-Witten equations.
Keywords
Cite
@article{arxiv.dg-ga/9710034,
title = {Mutation and Gauge Theory I: Yang-Mills Invariants},
author = {Daniel Ruberman},
journal= {arXiv preprint arXiv:dg-ga/9710034},
year = {2007}
}
Comments
AMSLaTeX, 24 pages, 2 figures