Cyclotomic expansions of the $gl_N$ knot invariants
Anna Beliakova (University of Zürich)
Abstract: Newton’s interpolation is a method to reconstruct a function from its values at different points. In the talk I will explain how one can use this method to construct an explicit basis for the center of quantum $gl_N$ and to show that the universal $gl_N$ knot invariant expands in this basis. This will lead us to an explicit construction of the so-called unified invariants for integral homology 3-spheres, that dominate all Witten-Reshetikhin-Turaev invariants. This is a joint work with Eugene Gorsky, that generalizes famous results of Habiro for $sl_2$.
mathematical physicsalgebraic topologycategory theoryquantum algebra
Audience: researchers in the topic
( video )
Topological Quantum Field Theory Club (IST, Lisbon)
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