A simple topological quantum field theory for manifolds with triangulated boundary

2009/07/22 by Сергей Игоревич Бельков, S. I. Bel'kov, Bel'kov, S. I. +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #math-ph #math.AT #math.GT #math.MP

paper · pdf · doi:10.48550/arxiv.0907.3787

27 pages

arxiv created 2009/07/22 · openalex publication_date 2009/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a simple finite-dimensional topological quantum field theory for compact 3-manifolds with triangulated boundary.

Citations

• A finite-dimensional TQFT for three-manifolds based on group PSL(2, C) and cross-ratios

Cited by

• Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves
• A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds

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