Affine Springer fibers of type A and combinatorics of diagonal coinvariants

Details Affine Springer fibers of type A and combinatorics of diagonal coinvariants Affine Springer fibers of type A and combinatorics of diagonal coinvariants

2012-03-27

arxiv.org/abs/1203.5878v1

Mathematics

Algebraic Geometry

30 pages

Scientific paper

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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