Homotopy invariants of braided commutative algebras and the Deligne conjecture for finite tensor categories
From MaRDI portal
Publication:2700632
DOI10.1016/j.aim.2023.109006OpenAlexW4365563298WikidataQ122905342 ScholiaQ122905342MaRDI QIDQ2700632
Christoph Schweigert, Lukas Woike
Publication date: 27 April 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.09018
Lie algebras and Lie superalgebras (17Bxx) Categorical structures (18Dxx) Homological methods in associative algebras (16Exx)
Related Items (3)
The differential graded Verlinde formula and the Deligne Conjecture ⋮ Brackets and products from centres in extension categories ⋮ Mini-workshop: Recent developments in representation theory and mathematical physics. Abstracts from the mini-workshop held March 20--26, 2022
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Connes-Moscovici characteristic map is a Lie algebra morphism.
- Topological conformal field theories and Calabi-Yau categories
- A proof of a cyclic version of Deligne's conjecture via cacti
- Cohomology of quantum groups at roots of unity
- The homology of iterated loop spaces
- On the cyclic homology of exact categories
- Batalin-Vilkovisky algebras and two-dimensional topological field theories
- The cyclic homology of an exact category
- Reconstruction in braided categories and a notion of commutative bialgebra
- The logarithmic Cardy case: boundary states and annuli
- Modular transformations for tensor categories
- Homotopy coherent mapping class group actions and excision for Hochschild complexes of modular categories
- Remarks on the derived center of small quantum groups
- The Hochschild complex of a finite tensor category
- Invariants of 3-manifolds via link polynomials and quantum groups
- Further results on the structure of (co)ends in finite tensor categories
- The cohomology structure of an associative ring
- On the Hochschild cohomology ring of tensor products of algebras.
- The geometry of iterated loop spaces
- On the cyclic Deligne conjecture.
- Correspondences of ribbon categories
- From non-semisimple Hopf algebras to correlation functions for logarithmic CFT
- Quantum double of Hopf monads and categorical centers
- On Frobenius algebras in rigid monoidal categories
- RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES
- The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite
- Framed Discs Operads and Batalin-Vilkovisky Algebras
- On Unimodular Finite Tensor Categories
- Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture
- G-structure on the cohomology of Hopf algebras
- Combinatorial operad actions on cochains
- The Witt group of non-degenerate braided fusion categories
- Hochschild homology of Hopf algebras and free Yetter–Drinfeld resolutions of the counit
- Cohomology of finite tensor categories: Duality and Drinfeld centers
- Cohomology of finite-dimensional pointed Hopf algebras
- Hochschild Cohomology for Algebras
- Tensor Categories
- Homotopy of Operads and Grothendieck–Teichmüller Groups
- Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology
- The B∞-Structure on the Derived Endomorphism Algebra of the Unit in a Monoidal Category
- Quantum invariants of knots and 3-manifolds
- Non-semisimple topological quantum field theories for 3-manifolds with corners
- Relative Serre functor for comodule algebras
- The differential graded Verlinde formula and the Deligne Conjecture
This page was built for publication: Homotopy invariants of braided commutative algebras and the Deligne conjecture for finite tensor categories
