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arXiv 2015-03-22 DOI 10.2140/agt.2016.16.2127 1 views

A self-pairing theorem for tangle Floer homology

Petkova, Ina · Vertesi, Vera

Original · EN

We show that for a tangle T with -∂⁰T ∂¹ T the Hochschild homology of the tangle Floer homology CT(T) is equivalent to the link Floer homology of the closure T' = T/(-∂⁰T ∂¹ T) 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.

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