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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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Cite

BibTeXRIS
BibTeX
@misc{yun2026perverse,
  title = {{Perverse filtration on the cohomology of affine Springer fibers}},
  author = {Zhiwei Yun},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.01507},
  eprint = {2606.01507},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.01507},
}
RIS
TY  - UNPB
TI  - Perverse filtration on the cohomology of affine Springer fibers
AU  - Zhiwei Yun
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2606.01507
UR  - https://arxiv.org/abs/2606.01507
AB  - 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.
ER  -