Seifert surfaces distinguished by sutured Floer homology but not its Euler characteristic

Published

Journal Article

© 2015 Elsevier B.V. In this paper we find a family of knots with trivial Alexander polynomial, and construct two non-isotopic Seifert surfaces for each member in our family. In order to distinguish the surfaces we study the sutured Floer homology invariants of the sutured manifolds obtained by cutting the knot complements along the Seifert surfaces. Our examples provide the first use of sutured Floer homology, and not merely its Euler characteristic (a classical torsion), to distinguish Seifert surfaces. Our technique uses a version of Floer homology, called ". longitude Floer homology" in a way that enables us to bypass the computations related to the SFH of the complement of a Seifert surface.

Full Text

Duke Authors

Cited Authors

  • Vafaee, F

Published Date

  • April 1, 2015

Published In

Volume / Issue

  • 184 /

Start / End Page

  • 72 - 86

International Standard Serial Number (ISSN)

  • 0166-8641

Digital Object Identifier (DOI)

  • 10.1016/j.topol.2015.01.005

Citation Source

  • Scopus