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Invariants of annular links from categorical traces
by
Krzysztof Putyra
University of Zurich
Coauthors: Anna Beliakova, Stephan Wehrli
A trace function on a k-algebra A is a linear map tr: A→ k that satisfies the cyclicity relation tr(ab) = tr(ba). In particular, a trace of an A-valued invariant of tangles is automatically an invariant of links in a thickened annulus (which we call annular links). In a similar fashion one can obtain invariants of annular links from tangle homology theories, by replacing trace functions with their categorical analogues, such as Hochschild homology. Having such a description of an annular link homology one can then deform the trace relation to get a new, usually stronger, invariant of links in a solid torus.
Date received: May 10, 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 # cbpy-14.