Structure Constants in equivariant oriented cohomology of flag varieties
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866911837558145024 |
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| author | Goldin, Rebecca Zhong, Changlong |
| author_facet | Goldin, Rebecca Zhong, Changlong |
| contents | We obtain a formula for structure constants of certain variant form of Bott-Samelson classes for equivariant oriented cohomology of flag varieties. Specializing to singular cohomology/K-theory, we recover formulas of structure constants of Schubert classes of Goldin-Knutson, and that of structure constants of Segre-Schwartz-MacPherson classes of Su. We also obtain a formula for K-theoretic stable basis. Our method comes from the study of formal affine Demazure algebra, so is purely algebraic, while the above mentioned results are geometric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_03466 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Structure Constants in equivariant oriented cohomology of flag varieties Goldin, Rebecca Zhong, Changlong Algebraic Geometry 14M15 (Primary), 20C08 (Secondary) We obtain a formula for structure constants of certain variant form of Bott-Samelson classes for equivariant oriented cohomology of flag varieties. Specializing to singular cohomology/K-theory, we recover formulas of structure constants of Schubert classes of Goldin-Knutson, and that of structure constants of Segre-Schwartz-MacPherson classes of Su. We also obtain a formula for K-theoretic stable basis. Our method comes from the study of formal affine Demazure algebra, so is purely algebraic, while the above mentioned results are geometric. |
| title | Structure Constants in equivariant oriented cohomology of flag varieties |
| topic | Algebraic Geometry 14M15 (Primary), 20C08 (Secondary) |
| url | https://arxiv.org/abs/2009.03466 |