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Ocneanu Rigidity

Posted in
Speaker: 
Orit Davidovich
Zugehörigkeit: 
MPI
Datum: 
Mit, 2012-03-14 14:00 - 15:30
Parent event: 
Fusion categories seminar

Ocneanu Rigidity for fusion and modular categories is
roughly the statement that such categorical structures cannot be
infinitesimally deformed, hence rigidity.  As a consequence, only
finitely many fusion or modular categories share the same Grothendieck
ring.  We follow A. Kitaev in a proof applicable to the unitary case,
in the course of which we introduce the notion of Davydov-Yetter
cohomology of a fusion category.
 

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