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Sutured Floer homology distinguishes between Seifert surfaces

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Altman, Irid (2012) Sutured Floer homology distinguishes between Seifert surfaces. Topology and its Applications, Volume 159 (Number 14). pp. 3143-3155. doi:10.1016/j.topol.2012.06.002

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Official URL: http://dx.doi.org/10.1016/j.topol.2012.06.002

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Abstract

We exhibit the first example of a knot K in the three-sphere with a pair of minimal genus Seifert surfaces R1 and R2 that can be distinguished using the sutured Floer homology of their complementary manifolds together with the Spinc grading. This answers a question of Juhász. More precisely, we show that the Euler characteristic of the sutured Floer homology distinguishes between R1 and R2, as does the sutured Floer polytope introduced by Juhász. Actually, we exhibit an infinite family of knots with pairs of Seifert surfaces that can be distinguished by the Euler characteristic.

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Topology and its Applications
Publisher: Elsevier Science BV
ISSN: 0166-8641
Official Date: 2012
Dates:
DateEvent
2012Published
Volume: Volume 159
Number: Number 14
Page Range: pp. 3143-3155
DOI: 10.1016/j.topol.2012.06.002
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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