Topological Quantum Field Theory Seminar   RSS

17/12/2003, 14:00 — 15:00 — Room P3.10, Mathematics Building
J. Scott Carter, Univ. South Alabama

Quandle homology theories and cocycle invariants of knots

Cohomology theories have been developed for certain self-distributive groupoids called quandles. Variations of invariants of knots and knotted surfaces have been defined using quandle cocycles and the state-sum form. We review these developments, and also discuss quandle modules and their relation to generalizations of Alexander modules, and topological applications of these invariants.

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Current organizers: José MourãoRoger Picken, Marko Stošić


FCT Projects PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry, PTDC/MAT-PUR/31089/2017, Higher Structures and Applications.