On D. Peterson's presentation of quantum cohomology of $G/P$
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914808385765376 |
|---|---|
| author | Chow, Chi Hong |
| author_facet | Chow, Chi Hong |
| contents | We prove in full generality that the $T$-equivariant quantum cohomology of any flag variety $G/P$ is isomorphic to the coordinate ring of a stratum of the Peterson scheme associated to the Langlands dual group scheme $G^{\vee}$. This result was discovered by Dale Peterson but remains unpublished. Our isomorphism is constructed using Yun-Zhu's isomorphism and Peterson-Lam-Shimozono's homomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_17382 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On D. Peterson's presentation of quantum cohomology of $G/P$ Chow, Chi Hong Algebraic Geometry Mathematical Physics Representation Theory We prove in full generality that the $T$-equivariant quantum cohomology of any flag variety $G/P$ is isomorphic to the coordinate ring of a stratum of the Peterson scheme associated to the Langlands dual group scheme $G^{\vee}$. This result was discovered by Dale Peterson but remains unpublished. Our isomorphism is constructed using Yun-Zhu's isomorphism and Peterson-Lam-Shimozono's homomorphism. |
| title | On D. Peterson's presentation of quantum cohomology of $G/P$ |
| topic | Algebraic Geometry Mathematical Physics Representation Theory |
| url | https://arxiv.org/abs/2210.17382 |