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Torsion in the Khovanov homology of locally homologically thin links
by
Alex Chandler
North Carolina State University
Coauthors: Adam Lowrance, Radmila Sazdanovic, Victor Summers
We give a local version of Shumakovitch's result stating that homologically thin links have only torsion of order 2 in Khovanov homology. As an application, we show that an infinite family of 3-strand braids, strictly containing the 3-strand torus links, have only torsion of order 2 in Khovanov homology, thus giving a partial answer to the conjecture of Przytycki and Sazdanovic that 3-braids have only torsion of order 2. This allows us to give explicit computations of the integral Khovanov homology for all links in this infinite family.
Date received: January 8, 2019
Copyright © 2019 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbpq-46.