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Knots, Graphs and Groups seminar
5 июля 2025 г. 17:05, г. Москва, Online, Zoom


The tangle-valued 1-cocycle for knots

Fiedler Thomas

Аннотация: We replace the Yang-Baxter equation by the tetrahedron equation and use it to construct an infinit ordered set of Alexander (or Conway) polynomials, called the Alexander tree, as a knot invariant. As an application we prove that the knot 8_17 is not invertible by using just the first coefficients of some of the Conway polynomials in the invariant. This makes the Alexander tree a serious candidate for a complete and calculable invariant for classical knots.

Язык доклада: английский

Website: https://us02web.zoom.us/j/81866745751?pwd=bEFqUUlZM1hVV0tvN0xWdXRsV2pnQT09


© МИАН, 2025