Perverse filtration on the cohomology of affine Springer fibers
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911739016118272 |
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| author | Yun, Zhiwei |
| author_facet | Yun, Zhiwei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_01507 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Perverse filtration on the cohomology of affine Springer fibers Yun, Zhiwei Representation Theory Algebraic Geometry 20G99 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. |
| title | Perverse filtration on the cohomology of affine Springer fibers |
| topic | Representation Theory Algebraic Geometry 20G99 |
| url | https://arxiv.org/abs/2606.01507 |