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A Categorification of the Vandermonde Determinant
by
Alex Chandler
NCSU
In the spirit of Bar Natan's construction of Khovanov homology we introduce a diagrammatic framework for categorifying the Vandermonde determinant. We form a diagram of colored smoothings and cobordisms of a knot diagram in the shape of the Hasse diagram of the Bruhat order on the symmetric group. Applying a TQFT to this diagram yields a chain complex whose Euler characteristic is equal to the Vandermonde determinant.
Date received: April 18, 2017
Copyright © 2017 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbof-14.