Resumen de An affine generalization of evacuation

Michael Chmutov, Gabriel Frieden, Dongkwan Kim, Joel Brewster Lewis, Elena Yudovina

• We establish the existence of an involution on tabloids that is analogous to Schützenberger’s evacuation map on standard Young tableaux. We find that the number of its fixed points is given by evaluating a certain Green’s polynomial at q=−1, and satisfies a “domino-like” recurrence relation.