Topological Quantum Field Theory Seminar   RSS

21/11/2012, 15:30 — 16:30 — Room P4.35, Mathematics Building
, Institut Mathématique de Jussieu, Paris

Indecomposable modules over a Kuperberg-Khovanov algebras

The 𝔰𝔩 3 polynomial is a quantum invariant for knots. It has been categorified by Khovanov in 2004 in a TQFT fashion. The natural way to extend this categorification to an invariant of tangle is construct a 0 +1 +1 TQFT. From this construction emerge some algebras called Khovanov-Kuperberg algebras (or 𝔰𝔩 3 -web algebras) and some particular projective modules called web-modules over these algebras. I will give a combinatorial caracterisation of indecomposable web-modules.
Categorification mini-workshop

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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.