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2016 A self-pairing theorem for tangle Floer homology
Ina Petkova, Vera Vértesi
Algebr. Geom. Topol. 16(4): 2127-2141 (2016). DOI: 10.2140/agt.2016.16.2127

Abstract

We show that for a tangle T with 0T1T 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.

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Ina Petkova. Vera Vértesi. "A self-pairing theorem for tangle Floer homology." Algebr. Geom. Topol. 16 (4) 2127 - 2141, 2016. https://doi.org/10.2140/agt.2016.16.2127

Information

Received: 4 April 2015; Revised: 19 November 2015; Accepted: 24 December 2015; Published: 2016
First available in Project Euclid: 28 November 2017

zbMATH: 1351.57020
MathSciNet: MR3546461
Digital Object Identifier: 10.2140/agt.2016.16.2127

Subjects:
Primary: 57M27, 57R58

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.16 • No. 4 • 2016
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