# Cohomology of the tetrahedral complex and quasi-invariants of 2-knots

@article{Korepanov2015CohomologyOT, title={Cohomology of the tetrahedral complex and quasi-invariants of 2-knots}, author={Igor G. Korepanov and Georgy I. Sharygin and Dmitry V. Talalaev}, journal={arXiv: Mathematical Physics}, year={2015} }

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…

## One Citation

### Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems

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- 2017

The main aim of this work is to develop a method of constructing higher Hamiltonians of quantum integrable systems associated with the solution of the Zamolodchikov tetrahedral equation. As opposed…

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