Link Floer homology detects the Thurston norm
type: Item
instance of: scholarly article
title: Link Floer homology detects the Thurston norm
zbMATH Open document ID: 1203.57005
author: Yi Ni
published in: Geometry \& Topology
publication date: 2009-11-02T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0604360
review text: The author proves that, for a link in a rational homology 3-sphere, link Floer homology detects the Thurston norm of its complement. In particular, he shows that knot Floer homology detects the genus of null-homologous links in rational homology 3-spheres. For links in \(S^3\), the first statement has been proved by Ozsváth and Szabó and the second one by the author.
reviewed by: Anna Beliakova
Mathematics Subject Classification ID: 57M27
Mathematics Subject Classification ID: 57R58
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 5624184
zbMATH Keywords: link Floer homology
zbMATH Keywords: Thurston norm
zbMATH Keywords: taut foliation
MaRDI profile type: Publication
OpenAlex ID: W2018876515
arXiv ID: math/0604360
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DOI: 10.2140/GT.2009.13.2991
description: scientific article