Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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On algebraisation of low-dimensional Topology
The categories of n-cobordisms are among the most studied objects in low dimensional topology. For n=2 we know that 2Cob is a monoidal category freely generated by its commutative Frobenius algebra object: the circle. This result also classifies all TQFT functors on 2Cob. In this talk I will construct similar algebraic presentations and prove classification results for special categories of 3- and 4-cobordisms. Here the role of Frobenius algebra is taken by a Hopf algebra. The results are obtained in collaboration with Marco De Renzi, Ivelina Bobtcheva and Riccardo Piergallini.
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