Shifted symplectic reduction of derived critical loci
| Autor: | Anel, Mathieu, Calaque, Damien |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Advances in Theoretical and Mathematical Physics, Volume 26 (2022), Number 6, Pages 1543-1583 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4310/ATMP.2022.v26.n6.a1 |
| Popis: | We prove that the derived critical locus of a $G$-invariant function $S:X\to\mathbb{A}^1$ carries a shifted moment map, and that its derived symplectic reduction is the derived critical locus of the induced function $S_{red}:X/G\to\mathbb{A}^1$ on the orbit stack. We also provide a relative version of this result, and show that derived symplectic reduction commutes with derived lagrangian intersections. Comment: final version, appeared in ATMP |
| Databáze: | arXiv |
| Externí odkaz: |
|