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Cohomology of the tetrahedral complex and quasi-invariants of 2-knotsстатья Электронная публикация
- Авторы: Korepanov I.G., Sharygin G.I., Talalaev D.V.
- Сборник: ArXiv e-prints
- Серия: Series arxive "math"
- Том: 6548
- Год издания: 2015
- Место издания: Cornell University Libtary Ithaca, New York
- Аннотация: 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.
- Добавил в систему: Шарыгин Георгий Игорьевич