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A Lagrangian Neighbourhood Theorem for shifted symplectic derived schemes

Abstract:

Pantev, Toën, Vaquié and Vezzosi [19] defined k-shifted symplectic derived schemes and stacks X for k∈Z, and Lagrangians f:L→X in them. They have important applications to Calabi–Yau geometry and quantization. Bussi, Brav and Joyce [7] and Bouaziz and Grojnowski [5] proved “Darboux Theorems” giving explicit Zariski or étale local models for k-shifted symplectic derived schemes X for k<0 presenting them as twisted shifted cotangent bundles.

We prove a “Lagrangian Neighbourhood Theor...

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Publication status:
Published
Peer review status:
Peer reviewed

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Files:
  • (Accepted manuscript, pdf, 941.7KB)
Publisher copy:
10.5802/afst.1616

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Institution:
University of Oxford
Oxford college:
Lincoln College
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Université Paul Sabatier Publisher's website
Journal:
Annales de la Faculte des Sciences de Toulouse Journal website
Volume:
28
Issue:
5
Pages:
831-908
Publication date:
2020-04-23
Acceptance date:
2017-08-30
DOI:
Source identifiers:
527441
Language:
English
Keywords:
Pubs id:
pubs:527441
UUID:
uuid:3a159895-1bc9-49b5-a2d2-17086b2d5f40
Local pid:
pubs:527441
Deposit date:
2017-09-01

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