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Categorification of sl(2) and braid groups

Abstract:
We describe categorifications Of (S)1(2) and braid groups. In a first part, we give a survey of the case Of S12 (joint work with Joseph Chuang [ChRou]) and explain how it leads to the construction of derived equivalences. The second part points out the existence of "higher symmetries" in the examples of braid group actions on triangulated categories.

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Volume:
406
Pages:
137-167
Publication date:
2006
URN:
uuid:88439d1c-e29c-48f4-a633-b89fe0f12871
Source identifiers:
12070
Local pid:
pubs:12070

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