| Title: |
Shifted symplectic reduction of derived critical loci |
| Authors: |
Anel, Mathieu; Calaque, Damien |
| Contributors: |
Institut Montpelliérain Alexander Grothendieck (IMAG); Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM); European Project: 768679,DerSympApp |
| Source: |
ISSN: 1095-0761 ; Advances in Theoretical and Mathematical Physics ; https://hal.science/hal-03260929 ; Advances in Theoretical and Mathematical Physics, 2022, 26 (6), pp.1543-1583. ⟨10.4310/ATMP.2022.v26.n6.a1⟩. |
| Publisher Information: |
CCSD; International Press |
| Publication Year: |
2022 |
| Collection: |
Université de Montpellier: HAL |
| Subject Terms: |
[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]; [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]; [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG] |
| Description: |
International audience ; 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. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/arxiv/2106.06625; info:eu-repo/grantAgreement//768679/EU/ERC Consolidator Grant - Derived Symplectic Geometry and Applications/DerSympApp; ARXIV: 2106.06625 |
| DOI: |
10.4310/ATMP.2022.v26.n6.a1 |
| Availability: |
https://hal.science/hal-03260929; https://hal.science/hal-03260929v1/document; https://hal.science/hal-03260929v1/file/Crit.pdf; https://doi.org/10.4310/ATMP.2022.v26.n6.a1 |
| Rights: |
info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.559AC340 |
| Database: |
BASE |