Mathematics – Quantum Algebra
Scientific paper
2011-08-30
Mathematics
Quantum Algebra
35 pages, LaTeX; final version, to appear in Quantum Topology
Scientific paper
We study monoidal categories that enjoy a certain weakening of the rigidity property, namely, the existence of a dualizing object in the sense of Grothendieck and Verdier. We call them Grothendieck-Verdier categories. Notable examples include the derived category of constructible sheaves on a scheme (with respect to tensor product) as well as the derived and equivariant derived categories of constructible sheaves on an algebraic group (with respect to convolution). We show that the notions of pivotal category and ribbon category, which are well known in the setting of rigid monoidal categories, as well as certain standard results associated with these notions, have natural analogues in the world of Grothendieck-Verdier categories.
Boyarchenko Mitya
Drinfeld Vladimir
No associations
LandOfFree
A duality formalism in the spirit of Grothendieck and Verdier does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A duality formalism in the spirit of Grothendieck and Verdier, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A duality formalism in the spirit of Grothendieck and Verdier will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-729112