Séminaire Algèbre Géométrie Algébrique Topologie Algébrique :

Le 13 septembre 2018 à 11:30 - salle 430

Présentée par Markarian Nikita - Higher School of Economics, Moscou

Weyl n-algebras, factorization homology and invariants of manifolds

I will define Weyl n-algebras and explain how they may be used to construct such invariants of 3-manifolds and knots as Axelrod-Singer invariants, perturbative Chern-Simons invariants and the Kontsevich integral. I will explain how to calculate the Kontsevich integral of the unknot by means of this construction. The talk is based on two papers: arXiv:1504.01931 and arXiv:1509.03415. Besides, I hope to discuss some possible further applications and generalizations.