Computing knot Floer homology in cyclic branched covers

Adam Simon Levine

doi:10.2140/agt.2008.8.1163

Computing knot Floer homology in cyclic branched covers

Adam Simon Levine

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We use grid diagrams to give a combinatorial algorithm for computing the knot Floer homology of the pullback of a knot K ⊂ S³ in its m-fold cyclic branched cover Σ_m(K), and we give computations when m=2 for over fifty three - bridge knots with up to eleven crossings.

Original language	English (US)
Pages (from-to)	1163-1190
Number of pages	28
Journal	Algebraic and Geometric Topology
Volume	8
Issue number	2
DOIs	https://doi.org/10.2140/agt.2008.8.1163
State	Published - 2008

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

Branched cover
Knot floer homology

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10.2140/agt.2008.8.1163

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title = "Computing knot Floer homology in cyclic branched covers",

abstract = "We use grid diagrams to give a combinatorial algorithm for computing the knot Floer homology of the pullback of a knot K ⊂ S3 in its m-fold cyclic branched cover Σm(K), and we give computations when m=2 for over fifty three - bridge knots with up to eleven crossings.",

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AB - We use grid diagrams to give a combinatorial algorithm for computing the knot Floer homology of the pullback of a knot K ⊂ S3 in its m-fold cyclic branched cover Σm(K), and we give computations when m=2 for over fifty three - bridge knots with up to eleven crossings.

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KW - Knot floer homology

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JO - Algebraic and Geometric Topology

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IS - 2

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Computing knot Floer homology in cyclic branched covers

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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