Heegaard Floer homology and splicing homology spheres

Cagri Karakurt; Tye Lidman; Eamonn Tweedy

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arXiv · 1904.03777

Heegaard Floer homology and splicing homology spheres

Cagri Karakurt·Tye Lidman·Eamonn Tweedy

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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.

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BibTeX RIS

Cagri Karakurt, Tye Lidman, Eamonn Tweedy. 2019-04-07. Heegaard Floer homology and splicing homology spheres. https://arxiv.org/abs/1904.03777

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