Concordance invariants and quasi-alternating links

Brendan Owens (University of Glasgow)

Monday 30th September, 2013 16:00-17:00 Maths 204


Alternating knots and links have long been known to have many special properties.  The study of Heegaard Floer homology invariants associated to alternating links led Ozsvath and Szabo to introduce a wider class of knots and links which they called quasi-alternating.  These share many of the properties of alternating links, especially with regard to recent invariants such as Khovanov homology and Heegaard Floer theory.
In this talk I will introduce quasi-alternating links and two well-known concordance invariants (one modern and one classical) and will describe a recent proof (joint with Lisca) that these invariants are equal for quasi-alternating links.

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