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Character varieties of surfaces and Kauffman brackets

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  • UserFrancis Bonahon, USC
  • ClockWednesday 04 May 2011, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith .

My talk will involve two concepts which are apparently very different. The character variety of a surface S, consisting of homomorphisms from the fundamental group of S to a Lie group G, arises in many different branches of mathematics. The classical Kauffman bracket is an invariant of knots and links in space, closely related to the Jones polynomial. When G = SL_2 C, Turaev showed that the character variety can be quantised by a generalisation of Kauffman brackets to the surface S. I will discuss the classification problem for Kauffman brackets on S, with results, conjectures and interesting examples.

This talk is part of the Differential Geometry and Topology Seminar series.

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This talk will be held in a hybrid format at MR 2, Centre of Mathematical Sciences, CB3 0WA. Alternatively you can also join with Zoom (see abstract for Zoom link). Zoom - register via https://cam-ac-uk.zoom.us/meeting/register/tJIqduGurzstHdc_HYyIul097q1Hop_nfJb5 Online via zoom & Queen Edith Room

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