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26 April 2024
 
  » arxiv » 1707.2847

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Hexagon cohomologies and a cubic TQFT action
I.G. Korepanov ; N.M. Sadykov ;
Date 10 Jul 2017
AbstractHexagon relations are combinatorial or algebraic realizations of four-dimensional Pachner moves. We introduce some simple set-theoretic relations and then ’quantize’ them using some kind of cohomologies. Based on this, a topological quantum field theory is proposed with cubic ’discrete Lagrangian density’ taking values in a finite field of characteristic two. First calculations of the resulting manifold invariants show their nontriviality.
Source arXiv, 1707.2847
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