Geodesic
A self-pairing theorem for tangle Floer homology
Petkova, Ina1 ; Vértesi, Vera2
1Department of Mathematics, Columbia University, Room 509, 2990 Broadway, New York, NY 10027, United States
2Institut de Recherche Mathématique Avancée, Université de Strasbourg, 7 rue René Decartes, 67084 Strasbourg, France
Algebraic and Geometric Topology, Tome 16 (2016) no. 4, pp. 2127-2141
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We show that for a tangle T with − ∂0T≅∂1T the Hochschild homology of the tangle Floer homology CT˜(T) is equivalent to the link Floer homology of the closure T′ = T∕(−∂0T ∼ ∂1T) of the tangle, linked with the tangle axis. In addition, we show that the action of the braid group on tangle Floer homology is faithful.

DOI : 10.2140/agt.2016.16.2127
Classification : 57M27, 57R58
Keywords: tangles, knot Floer homology

Petkova, Ina  1   ; Vértesi, Vera  2

1 Department of Mathematics, Columbia University, Room 509, 2990 Broadway, New York, NY 10027, United States
2 Institut de Recherche Mathématique Avancée, Université de Strasbourg, 7 rue René Decartes, 67084 Strasbourg, France 
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Petkova, Ina; Vértesi, Vera. A self-pairing theorem for tangle Floer homology. Algebraic and Geometric Topology, Tome 16 (2016) no. 4, pp. 2127-2141. doi: 10.2140/agt.2016.16.2127

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