Topology Atlas | Conferences


Knots in the Triangle (Knots kNot in Washington)
April 29 - May 1, 2016
North Carolina State University
Raleigh NC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Cocycle knot invariants with topological quandles
by
Masahico Saito
University of South Florida
Coauthors: W. Edwin Clark

Quandle cocycle invariants were defined for knots using finite quandles. We generalize the 2-cocycle invariant for classical knots to topological quandles. The generalized invariants are computed explicitly for some knots, using SO(3) with quandle structures called generalized Alexander quandles.

Date received: April 15, 2016


Copyright © 2016 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 # cbmk-32.