Cohomology and deformation theory of monoidal 2-categories. I.

DOI10.1016/S0001-8708(03)00078-1zbMath1046.18003arXivmath/0204099OpenAlexW1999583297MaRDI QIDQ1424498

Josep Elgueta

Publication date: 14 March 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204099

zbMATH Keywords

formal deformationmonoidal 2-categoriespseudofunctors

Mathematics Subject Classification ID

Chain complexes (category-theoretic aspects), dg categories (18G35) Deformations and infinitesimal methods in commutative ring theory (13D10)

Related Items

Representation theory of 2-groups on Kapranov and Voevodsky's 2-vector spaces, 2-cosemisimplicial objects in a 2-category, permutohedra and deformations of pseudo\-functors, The Gerstenhaber-Schack complex for prestacks

Cites Work

• Coherence for bicategories and indexed categories
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• Nonstrict notions of \(n\)-category and \(n\)-groupoid via multisimplical sets
• Spherical 2-categories and 4-manifold invariants
• State-sum invariants of 3-manifolds associated to Artinian semisimple tortile categories
• Monoidal bicategories and Hopf algebroids
• Finite groups, spherical 2-categories, and 4-manifold invariants
• A categorification of the Temperley-Lieb algebra and Schur quotients of \(U(\mathfrak{sl}_2)\) via projective and Zuckerman functors
• Formal category theory: Adjointness for 2-categories
• The cohomology structure of an associative ring
• Functors between tensored categories
• On the deformation of rings and algebras
• STRUCTURE OF TOPOLOGICAL LATTICE FIELD THEORIES IN THREE DIMENSIONS
• INVOLUTORY HOPF ALGEBRAS AND 3-MANIFOLD INVARIANTS
• Bialgebra cohomology, deformations, and quantum groups.
• Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases
• Introduction to bicategories
• Invariants of piecewise-linear 3-manifolds
• Coherence for tricategories
• Higher-dimensional algebra and topological quantum field theory
• CATEGORIFICATION OF SOME LEVEL TWO REPRESENTATIONS OF QUANTUM 𝔰𝔩_n
• Homotopy Associativity of H-Spaces. I
• A category for the adjoint representation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item