Multiplicative Expression for the Coefficient in Fermionic 3–3 Relation

Igor Korepanov
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Igor Korepanov: Moscow Technological University, 20 Stromynka Street, Moscow 107076, Russia

Mathematics, 2016, vol. 4, issue 1, 1-16

Abstract: Recently, a family of fermionic relations were discovered corresponding to Pachner move 3–3 and parameterized by complex-valued 2-cocycles, where the weight of a pentachoron (4-simplex) is a Grassmann–Gaussian exponent. Here, the proportionality coefficient between Berezin integrals in the l.h.s. and r.h.s. of such relations is written in a form multiplicative over simplices.

Keywords: four-dimensional TQFT; piecewise-linear TQFT; algebraic realizations of Pachner moves; Grassmann–Gaussian exponents (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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