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arXiv · 1203.5878

Affine Springer fibers of type A and combinatorics of diagonal coinvariants

Tatsuyuki Hikita
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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 $\mf{S}_{n}$-modules whose bigraded Frobenius series are generalization of the symmetric functions introduced by Haglund, Haiman, Loehr, Remmel, and Ulyanov.

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Tatsuyuki Hikita. 2012-03-27. Affine Springer fibers of type A and combinatorics of diagonal coinvariants. https://arxiv.org/abs/1203.5878

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