Two 2-traces

Simon Willerton (University of Sheffield)

Monday 10th November, 2008 16:00-17:00 Mathematics Building, room 214


Monoidal 2-categories model are not esoteric but rather model common three-dimensional structures and I will give several examples from algebra, geometry and topology. I will show how there are two ways to take the 'trace' of an endomorphism in such a structure, how they are related and how, from this, you recover things like braid closure, the distance moved by points in a metric space self-map and the Hochschild cohomology and cohomology of varieties or bimodules.

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