Gauss Diagram Invariants for Knots and Links James J from 17 - 29 August

from 17 - 29 August

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Gauss Diagram Invariants for Knots and Links James J from 17 - 29 AugustGauss diagram invariants are isotopy invariants of oriented knots in manifolds which are the product of a (not necessarily orientable) surface with an oriented line. The invariants are defined in a combinatorial way using knot diagrams, and they take values in free abelian groups generated by the first homology group of the surface or by the set of free homotopy classes of loops in the surface. There are three main results: 1. The construction of