Heegaard Floer homology and splicing homology spheres
Geometric Topology
2019-07-29 v2
Abstract
We prove a basic inequality for the d-invariants of a splice of knots in homology spheres. As a result, we are able to prove a new relation on the rank of reduced Floer homology under maps between Seifert fibered homology spheres, improving results of the first and second authors. As a corollary, a degree one map between two aspherical Seifert homology spheres is homotopic to a homeomorphism if and only if the Heegaard Floer homologies are isomorphic.
Keywords
Cite
@article{arxiv.1904.03777,
title = {Heegaard Floer homology and splicing homology spheres},
author = {Cagri Karakurt and Tye Lidman and Eamonn Tweedy},
journal= {arXiv preprint arXiv:1904.03777},
year = {2019}
}
Comments
9 pages, 2 figures