Davydov-Yetter cohomology, comonads and Ocneanu rigidity

@article{Gainutdinov2019DavydovYetterCC,
  title={Davydov-Yetter cohomology, comonads and Ocneanu rigidity},
  author={Azat M. Gainutdinov and Jonas Haferkamp and Christoph Schweigert},
  journal={Advances in Mathematics},
  year={2019}
}

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References

SHOWING 1-10 OF 36 REFERENCES

Braided Deformations of Monoidal Categories and Vassiliev Invariants

Braided deformations of (symmetric) monoidal categories are related to Vassiliev theory by a direct generalization of well-known results relating "quantum" knot invariants to Vassiliev invariants.

Hopf monads

Twisting of monoidal structures

This article is devoted to the investigation of the deformation (twisting) of monoidal structures, such as the associativity constraint of the monoidal category and the monoidal structure of monoidal

Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners

and Summary of Results.- The Double Category of Framed, Relative 3-Cobordisms.- Tangle-Categories and Presentation of Cobordisms.- Isomorphism between Tangle and Cobordism Double Categories.-

An introduction to homological algebra

Preface 1. Generalities concerning modules 2. Tensor products and groups of homomorphisms 3. Categories and functors 4. Homology functors 5. Projective and injective modules 6. Derived functors 7.

∞-Categories for the Working Mathematician

homotopy theory C.1. Lifting properties, weak factorization systems, and Leibniz closure C.1.1. Lemma. Any class of maps characterized by a right lifting property is closed under composition,

Triangular Hopf algebras with the Chevalley property

We say that a Hopf algebra has the Chevalley property if the tensor product of any two simple modules over this Hopf algebra is semisimple. In this paper we classify finite dimensional triangular

On fusion categories

Using a variety of methods developed in the literature (in particular, the theory of weak Hopf algebras), we prove a number of general results about fusion categories in characteristic zero. We show

The non-semisimple Verlinde formula and pseudo-trace functions

Ribbon structures of the Drinfeld center

We classify the ribbon structures of the Drinfeld center $\mathcal{Z}(\mathcal{C})$ of a finite tensor category $\mathcal{C}$. Our result generalizes Kauffman and Radford's classification result of