Heegaard floer homology and concordance bounds on the Thurston norm

Journal Article (Journal Article)

We prove that twisted correction terms in Heegaard Floer homology provide lower bounds on the Thurston norm of certain cohomology classes determined by the strong concordance class of a 2-component link L in S3. We then specialise this procedure to knots in S2 × S1 and obtain a lower bound on their geometric winding number. We then provide an infinite family of null-homologous knots with increasing geometric winding number on which the bound is sharp.

Full Text

Duke Authors

Cited Authors

  • Celoria, D; Golla, M; Levine, AS

Published Date

  • January 1, 2020

Published In

Volume / Issue

  • 373 / 1

Start / End Page

  • 295 - 318

Electronic International Standard Serial Number (EISSN)

  • 1088-6850

International Standard Serial Number (ISSN)

  • 0002-9947

Digital Object Identifier (DOI)

  • 10.1090/tran/7906

Citation Source

  • Scopus