Orateur:
Scott Carter (University of South Alabama)
Titre: Braiding Trees, Knotted Foams, and cohomology of
G-families of quandles.
Résumé:
Concordance des noeuds positifs.
Knotted foams are to knotted surfaces as knotted trivalent graphs are to
classical knots. Because of this analogy, a cohomology theory that is used
to create invariants of knotted trivalent graphs can be promoted to create
invariants of knotted foams. This theory combines both quandle and group
cohomology. There are certain polytopes that are analogous to the Stasheff
polytope whose vertices are parametrized by braided trees that inform the
cocycle conditions.