Multiplicative expression for the coefficient in fermionic 3-3 relation

DOI10.3390/math4010003zbMath1343.57014arXiv1503.02272OpenAlexW2109447856MaRDI QIDQ272104

Igor G. Korepanov

Publication date: 20 April 2016

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02272

zbMATH Keywords

algebraic realizations of Pachner movesfour-dimensional TQFTGrassmann-Gaussian exponentspiecewise-linear TQFT

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) PL-topology (57Q99) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (2)

Free fermions on a piecewise linear four-manifold. I: Exotic chain complex ⋮ Free fermions on a piecewise linear four-manifold. II: Pachner moves

Cites Work

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• Relations in Grassmann algebra corresponding to three- and four-dimensional Pachner moves
• Two-cocycles give a full nonlinear parameterization of the simplest 3--3 relation
• Topological quantum field theories
• P.l. homeomorphic manifolds are equivalent by elementary shellings
• Parameterizing the simplest Grassmann-Gaussian relations for Pachner move 3-3

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