USA Topology Seminar
On a topological interpretation of quandle cocycle invariants of classical links
Takefumi Nosaka, Kyoto University
Details
Thursday, October 13, 2011
ILB 370
3:30-4:30 pm
Abstract
S. Carter and M. Saito et al. introduced quandle cocycle invariants of classical links using quandle 2-cocycles with local coefficients. However the construction is combinatorial, using link-diagrams. In this talk, for "some" quandles, we give a topological interpretation of all quandle cocycle invariants. The basic idea is to observe the cocycle invariants from "link bordism groups of X-colorings", and to relate the bordism group to a group homology via branched covering spaces.