A higher-order genus invariant and knot floer homology

Peter D. Horn

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


It is known that knot Floer homology detects the genus and Alexander polynomial of a knot. We investigate whether knot Floer homology of K detects more structure of minimal genus Seifert surfaces for K .We define an invariant of algebraically slice, genus one knots and provide examples to show that knot Floer homology does not detect this invariant. Finally, we remark that certain metabelian L2-signatures bound this invariant from below.

Original languageEnglish (US)
Pages (from-to)2209-2215
Number of pages7
JournalProceedings of the American Mathematical Society
Issue number6
StatePublished - Jun 2010

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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