A homology theory for graphs

Richard Hepworth (University of Aberdeen)

Monday 11th January, 2016 16:00-17:00 Maths 522


Tom Leinster recently introduced a polynomial invariant of graphs called the magnitude. In this talk I will define the "magnitude homology" of graphs. It categorifies the magnitude in the same sense that Khovanov homology categorifies the Jones polynomial. I will explain how to lift certain properties of the magnitude to properties of homology, and I will explain some Khovanov-ish features of the theory. This is joint work with Simon Willerton.

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