Jack characters and enumeration of maps

Abstract

Jack characters provide dual information about Jack symmetric functions. We give explicit formulas for the top-degree part of these Jack characters in terms of bicolored oriented maps with an arbitrary face structure.

12 pages; initial submission of an "extended abstract" for the conference FPSAC 2017. Overview of the preprints arXiv:1506.06361 and arXiv:1611.02012

References in corpus (2)

• Structure coefficients for Jack characters: approximate factorization property
• Bijection between oriented maps and weighted non-oriented maps