A simple topological quantum field theory for manifolds with triangulated boundary
S.I. Bel'kov, I.G. Korepanov, E.V. Martyushev
TL;DR
This paper introduces a straightforward finite-dimensional topological quantum field theory tailored for compact 3-manifolds with triangulated boundaries, providing a new mathematical framework.
Contribution
It presents a novel, simplified TQFT construction specifically designed for 3-manifolds with triangulated boundaries, expanding the toolkit for topological quantum field theories.
Findings
Provides a finite-dimensional TQFT for manifolds with boundary
Enables new computations in 3-manifold topology
Simplifies existing TQFT models
Abstract
We construct a simple finite-dimensional topological quantum field theory for compact 3-manifolds with triangulated boundary.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research