A self-pairing theorem for tangle Floer homology

Ina Petkova; Vera Vertesi

doi:10.2140/agt.2016.16.2127

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arXiv · 1503.06374

A self-pairing theorem for tangle Floer homology

Ina Petkova·Vera Vertesi

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Abstract

We show that for a tangle $T$ with $-\partial^0T \cong \partial^1 T$ the Hochschild homology of the tangle Floer homology $\widetilde{\mathit{CT}}(T)$ is equivalent to the link Floer homology of the closure $T' = T/(-\partial^0T \sim \partial^1 T)$ 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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BibTeX RIS

Ina Petkova, Vera Vertesi. 2016-01-07. A self-pairing theorem for tangle Floer homology. https://doi.org/10.2140/agt.2016.16.2127

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