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A Lagrangian Neighbourhood Theorem for shifted symplectic derived schemes

Abstract:

Pantev, Toen, Vezzosi and Vaquie arXiv:1111.3209 defined $k$-shifted symplectic derived schemes and stacks $({\bf X} ,\omega_{\bf X} )$ for $k\in\mathbb Z$, and Lagrangians ${\bf f}:{\bf L}\to{\bf X}$ in them. They have important applications to Calabi-Yau geometry and quantization. Bussi, Brav and Joyce arXiv:1305.6302 proved a 'Darboux Theorem' giving explicit Zariski or etale local models for $k$-shifted symplectic derived schemes $({\bf X} ,\omega_{\bf X} )$ for $k<0$, where ${\bf X}\s...

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Publication status:
Not published
Peer review status:
Not peer reviewed

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Publication date:
2015
URN:
uuid:4e122621-8a81-473b-ad5f-98c7d4ab2d7f
Source identifiers:
527441
Local pid:
pubs:527441
Keywords:

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