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Quandle Cocycle Invariant for Knotted 3-Manifolds in 5-Space.
by
Witold Rosicki
University of Gdansk
Quandle is an algebraic structure for which Carter, Jeslovsky, Kamada, Langford, and Saito (1999, 2003) have build cohomology theory. They have found invariants of knots and knotted surfaces in 2-nd and 3-rd quandle cohomology. An analogous invariant can be defined for knotted 3-manifolds. We can prove its correctness using Roseman moves. J. Przytycki and I are currently developing an analogous invariant for n-manifolds in codimension 2.
Date received: November 18, 2012
Copyright © 2012 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbfw-30.