Torus Equivariant Cohomology for the $Δ$-Springer Fiber
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914520184651776 |
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| author | Chou, Raymond |
| author_facet | Chou, Raymond |
| contents | We define a torus $U \subset T = (\mathbb{C}^\times)^K$ which acts on the $Δ$-Springer varieties $Y_{n,λ,s}$ defined by Griffin-Levinson-Woo and give a Borel-style presentation for the equivariant cohomology ring $H^*_U(Y_{n,λ,s})$. Our presentation arises from the orbit harmonics deformation technique, and uses methods of Chou-Matsumura-Rhoades and Abe-Horiguchi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27527 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Torus Equivariant Cohomology for the $Δ$-Springer Fiber Chou, Raymond Algebraic Geometry Combinatorics 05E14, 14F25, 14M15 We define a torus $U \subset T = (\mathbb{C}^\times)^K$ which acts on the $Δ$-Springer varieties $Y_{n,λ,s}$ defined by Griffin-Levinson-Woo and give a Borel-style presentation for the equivariant cohomology ring $H^*_U(Y_{n,λ,s})$. Our presentation arises from the orbit harmonics deformation technique, and uses methods of Chou-Matsumura-Rhoades and Abe-Horiguchi. |
| title | Torus Equivariant Cohomology for the $Δ$-Springer Fiber |
| topic | Algebraic Geometry Combinatorics 05E14, 14F25, 14M15 |
| url | https://arxiv.org/abs/2604.27527 |