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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| Accès en ligne: | https://arxiv.org/abs/2604.09416 |
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| _version_ | 1866917399008116736 |
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| author | Lenart, Cristian Zehr, Krista Zhong, Changlong |
| author_facet | Lenart, Cristian Zehr, Krista Zhong, Changlong |
| contents | This paper studies the KL-Schubert classes defined by Kazhdan-Lusztig bases in $K$-theory and hyperbolic cohomology of flag varieties. We first establish Poincaré dualities of these classes. We then focus on Grassmannians, and establish the Billey-type formula for KL-Schubert classes in hyperbolic cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09416 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Billey-Type Formula for KL-Schubert Classes in Hyperbolic Cohomology Lenart, Cristian Zehr, Krista Zhong, Changlong Algebraic Geometry Combinatorics Representation Theory 14M15, 14F43, 55N20, 55N22, 19L47, 05E99 This paper studies the KL-Schubert classes defined by Kazhdan-Lusztig bases in $K$-theory and hyperbolic cohomology of flag varieties. We first establish Poincaré dualities of these classes. We then focus on Grassmannians, and establish the Billey-type formula for KL-Schubert classes in hyperbolic cohomology. |
| title | Billey-Type Formula for KL-Schubert Classes in Hyperbolic Cohomology |
| topic | Algebraic Geometry Combinatorics Representation Theory 14M15, 14F43, 55N20, 55N22, 19L47, 05E99 |
| url | https://arxiv.org/abs/2604.09416 |