Affine Springer fibers of type A and combinatorics of diagonal coinvariants

2012/03/27 by Tatsuyuki Hikita, Hikita, Tatsuyuki · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1203.5878

openalex publication_date 2012/03/27 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We calculate the Borel-Moore homology of affine Springer fibers of type A associated to some regular semisimple nil elliptic elements. As a result, we obtain bigraded \mfS_n-modules whose bigraded Frobenius series are generalization of the symmetric functions introduced by Haglund, Haiman, Loehr, Remmel, and Ulyanov.

Cited by

• Bigraded Polynomials for the Cohomology of Wild Hitchin Systems
• Compositional (km,kn)-Shuffle Conjectures

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