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arXiv · 2606.01507

Perverse filtration on the cohomology of affine Springer fibers

Zhiwei Yun
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Abstract

We show that the top cohomology of any affine Springer fiber, as a Weyl group representation, contains a large part of the total cohomology of certain Springer fibers. The main ingredient of the proof is the construction of a ``perverse filtration'' on the pure part of the cohomology of affine Springer fibers.

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Zhiwei Yun. 2026-06-01. Perverse filtration on the cohomology of affine Springer fibers. https://arxiv.org/abs/2606.01507

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