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arXiv · 1810.01034

On the Betti numbers of Springer fibers for classical types

Dongkwan Kim
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Abstract

For a Weyl group $W$ of classical type, we present a formula to calculate the restriction of (graded) Springer representations of $W$ to a maximal parabolic subgroup $W'$ where the types of $W$ and $W'$ are in the same series. As a result, we obtain recursive formulas for the Betti numbers of Springer fibers for classical types.

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Dongkwan Kim. 2018-10-02. On the Betti numbers of Springer fibers for classical types. https://arxiv.org/abs/1810.01034

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