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Hexagon cohomologies and polynomial TQFT actions
- Publication Year :
- 2017
-
Abstract
- Hexagon relations are combinatorial or algebraic realizations of four-dimensional Pachner moves. We introduce some simple set-theoretic hexagon relations and then `quantize' them using what we call `polynomial hexagon cohomologies'. Based on this, topological quantum field theories are proposed with polynomial `discrete Lagrangian densities' taking values in finite fields. First calculations of the resulting manifold invariants, arising from polynomial cocycles of degree three and in characteristic two, show their nontriviality.<br />Comment: 25 pages. v4: calculations for some twisted tori added, and other improvements
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1707.02847
- Document Type :
- Working Paper