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Cohomology of the tetrahedral complex and quasi-invariants of 2-knots | | I.G. Korepanov
; G.I. Sharygin
; D.V. Talalaev
; | | Date: |
11 Oct 2015 | | Abstract: | This paper explores a particular statistical model on 6-valent graphs with
special properties which turns out to be invariant with respect to certain
Roseman moves if the graph is the singular point graph of a diagram of a
2-knot. The approach uses the technic of the tetrahedral complex cohomology. We
emphasize that this model considered on regular 3d-lattices appears to be
integrable. We also set out some ideas about the possible connection of this
construction with the area of topological quantum field theories in dimension
4. | | Source: | arXiv, 1510.3015 | | Services: | Forum | Review | PDF | Favorites | |
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