State sum models and simplicial cohomology

DOI10.1007/BF02100184zbMath0844.55009arXivhep-th/9405108MaRDI QIDQ1901806

Danny Birmingham, Mark Rakowski

Publication date: 9 November 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9405108

zbMATH Keywords

lattice modelssimplicial complexgauge group

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (6)

Hamiltonian models for topological phases of matter in three spatial dimensions ⋮ On Dijkgraaf-Witten-type invariants ⋮ ON TWO-DIMENSIONAL QUASITOPOLOGICAL FIELD THEORIES ⋮ 4-dimensional BF gravity on the lattice ⋮ Finite groups, spherical 2-categories, and 4-manifold invariants ⋮ QUASITOPOLOGICAL FIELD THEORIES IN TWO DIMENSIONS AS SOLUBLE MODELS

Cites Work

• Topological quantum field theories
• P.l. homeomorphic manifolds are equivalent by elementary shellings
• Topological gauge theories and group cohomology
• Quantum field theory and the Jones polynomial
• The partition function of degenerate quadratic functional and Ray-Singer invariants
• State-sum invariants of 3-manifolds associated to Artinian semisimple tortile categories
• On Dijkgraaf-Witten invariant for 3-manifolds
• DISCRETE QUANTUM FIELD THEORIES AND THE INTERSECTION FORM
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