A Nekrasov-Okounkov formula for Macdonald polynomials

作者：Rains Eric M.; Warnaar S. Ole^*

来源：Journal of Algebraic Combinatorics, 2018, 48(1): 1-30.

DOI：10.1007/s10801-017-0790-2

• Hook-length formulas
• Macdonald polynomials

We prove a Macdonald polynomial analogue of the celebrated Nekrasov-Okounkov hook-length formula from the theory of random partitions. As an application we obtain a proof of one of the main conjectures of Hausel and Rodriguez-Villegas from their work on mixed Hodge polynomials of the moduli space of stable Higgs bundles on Riemann surfaces.

• 出版日期2018-8