Stable envelopes for critical loci
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917175332175872 |
|---|---|
| author | Cao, Yalong Okounkov, Andrei Zhou, Yehao Zhou, Zijun |
| author_facet | Cao, Yalong Okounkov, Andrei Zhou, Yehao Zhou, Zijun |
| contents | This is the first in a sequence of papers devoted to stable envelopes in critical cohomology and critical $K$-theory for symmetric GIT quotients with potentials and related geometries, and their applications to geometric representation theory and enumerative geometry. In this paper, we construct critical stable envelopes and establish their general properties, including compatibility with dimensional reductions, specializations, Hall products, and other geometric constructions. In particular, for tripled quivers with canonical cubic potentials, the critical stable envelopes reproduce those on Nakajima quiver varieties. These set up foundations for applications in subsequent papers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23929 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stable envelopes for critical loci Cao, Yalong Okounkov, Andrei Zhou, Yehao Zhou, Zijun Algebraic Geometry High Energy Physics - Theory Mathematical Physics Representation Theory 14N35, 17B37 (Primary) 16G20, 14C17 (Secondary) This is the first in a sequence of papers devoted to stable envelopes in critical cohomology and critical $K$-theory for symmetric GIT quotients with potentials and related geometries, and their applications to geometric representation theory and enumerative geometry. In this paper, we construct critical stable envelopes and establish their general properties, including compatibility with dimensional reductions, specializations, Hall products, and other geometric constructions. In particular, for tripled quivers with canonical cubic potentials, the critical stable envelopes reproduce those on Nakajima quiver varieties. These set up foundations for applications in subsequent papers. |
| title | Stable envelopes for critical loci |
| topic | Algebraic Geometry High Energy Physics - Theory Mathematical Physics Representation Theory 14N35, 17B37 (Primary) 16G20, 14C17 (Secondary) |
| url | https://arxiv.org/abs/2512.23929 |