Topological Quantum Field Theories from Homotopy n -Types

DOI10.1112/S0024610798006838zbMath1097.57501OpenAlexW2055643888MaRDI QIDQ4265457

Timothy Porter

Publication date: 1999

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610798006838

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Cobordism and concordance in topological manifolds (57N70)

Related Items

From gauge to higher gauge models of topological phases, Stratified spaces, directed algebraic topology, and state-sum TQFTs, Excitations in strict 2-group higher gauge models of topological phases, Three-dimensional orbifolds by 2-groups, Higher lattices, discrete two-dimensional holonomy and topological phases in (3 + 1)D with higher gauge symmetry, CATEGORICAL GROUPS, KNOTS AND KNOTTED SURFACES, Topological higher gauge theory: From BF to BFCG theory, Higher abelian Dijkgraaf-Witten theory, Dynamics of a lattice 2-group gauge theory model, Crossed modules of monoids. I: Relative categories, Dynamical generalization of Yetter's model based on a crossed module of discrete groups, The fundamental crossed module of the complement of a knotted surface, HOMOTOPY QUANTUM FIELD THEORIES AND THE HOMOTOPY COBORDISM CATEGORY IN DIMENSION 1 + 1, Finite groups, spherical 2-categories, and 4-manifold invariants, Topological invariant of 4-manifolds based on a 3-group