Lusztig sheaves, characteristic cycles and the Borel-Moore homology of Nakajima's quiver varieties
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908327854735360 |
|---|---|
| author | Fang, Jiepeng Lan, Yixin |
| author_facet | Fang, Jiepeng Lan, Yixin |
| contents | By using characteristic cycles, we build a morphism from the canonical bases of integrable highest weight modules of quantum groups to the top Borel-Moore homology groups of Nakajima's quiver and tensor product varieties, and compare the canonical bases and the fundamental classes. As an application, we show that Nakajima's realization of irreducible highest weight modules and their tensor products can be defined over integers. We also give a new proof of Nakajima's conjecture on the canonical isomorphism of tensor product varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12047 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lusztig sheaves, characteristic cycles and the Borel-Moore homology of Nakajima's quiver varieties Fang, Jiepeng Lan, Yixin Representation Theory Mathematical Physics Quantum Algebra By using characteristic cycles, we build a morphism from the canonical bases of integrable highest weight modules of quantum groups to the top Borel-Moore homology groups of Nakajima's quiver and tensor product varieties, and compare the canonical bases and the fundamental classes. As an application, we show that Nakajima's realization of irreducible highest weight modules and their tensor products can be defined over integers. We also give a new proof of Nakajima's conjecture on the canonical isomorphism of tensor product varieties. |
| title | Lusztig sheaves, characteristic cycles and the Borel-Moore homology of Nakajima's quiver varieties |
| topic | Representation Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2501.12047 |