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Mathematics 2016, 4(1), 3; doi:10.3390/math4010003

Multiplicative Expression for the Coefficient in Fermionic 3–3 Relation

Moscow Technological University, 20 Stromynka Street, Moscow 107076, Russia
Academic Editor: Yuli Rudyak
Received: 30 August 2015 / Revised: 6 November 2015 / Accepted: 15 January 2016 / Published: 20 January 2016
(This article belongs to the Special Issue Algebraic and Geometric Topology)
View Full-Text   |   Download PDF [271 KB, uploaded 20 January 2016]

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. View Full-Text
Keywords: four-dimensional TQFT; piecewise-linear TQFT; algebraic realizations of Pachner moves; Grassmann–Gaussian exponents four-dimensional TQFT; piecewise-linear TQFT; algebraic realizations of Pachner moves; Grassmann–Gaussian exponents
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Korepanov, I. Multiplicative Expression for the Coefficient in Fermionic 3–3 Relation. Mathematics 2016, 4, 3.

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