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

dc.contributor.author

Vafaee, F

dc.date.accessioned

2018-09-02T17:21:50Z

dc.date.available

2018-09-02T17:21:50Z

dc.date.issued

2015-04

dc.date.updated

2018-09-02T17:21:48Z

dc.description.abstract

© 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.

dc.identifier.issn

0166-8641

dc.identifier.issn

1879-3207

dc.identifier.uri

https://hdl.handle.net/10161/17370

dc.language

English

dc.publisher

Elsevier BV

dc.relation.ispartof

Topology and its Applications

dc.relation.isversionof

10.1016/j.topol.2015.01.005

dc.subject

Science & Technology

dc.subject

Physical Sciences

dc.subject

Mathematics, Applied

dc.subject

Mathematics

dc.subject

Sutured

dc.subject

Seifert

dc.subject

Floer homology

dc.subject

MINIMAL SPANNING SURFACES

dc.subject

KNOTS

dc.subject

UNIQUE

dc.subject

LINKS

dc.title

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

dc.type

Journal article

pubs.begin-page

72

pubs.end-page

86

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.organisational-group

Duke

pubs.organisational-group

Mathematics

pubs.publication-status

Published

pubs.volume

184

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