Handle decomposition complexity and representation spaces
Geometric Topology
2024-11-08 v2
Abstract
We prove that there are homology three-spheres that bound definite four-manifolds, but any such bounding four-manifold must be built out of many handles. The argument uses the homology cobordism invariant from instanton Floer homology.
Keywords
Cite
@article{arxiv.2210.06607,
title = {Handle decomposition complexity and representation spaces},
author = {Paolo Aceto and Aliakbar Daemi and Jennifer Hom and Tye Lidman and JungHwan Park},
journal= {arXiv preprint arXiv:2210.06607},
year = {2024}
}
Comments
22 pages. This version covers more general three-manifolds