Journal article
Derived coisotropic structures
- Abstract:
- We define and study coisotropic structures on derived stacks in the framework of shifted Poisson geometry. In particular, we give a presentation of coisotropic structures in terms of relative polyvector fields which shows that the identity morphism carries a unique coisotropic structure. In turn, this gives rise to a nontrivial forgetful map from nn-shifted Poisson structures to (n−1)(n−1)-shifted Poisson structures. We also prove that an intersection of two coisotropic morphisms carries a canonical Poisson structure of shift one less and provide an equivalence between a class of non-degenerate coisotropic morphisms and Lagrangian morphisms.
- Publication status:
- Not published
- Peer review status:
- Not peer reviewed
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+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Safronov, P
- Grant:
- EP/I033343/1
- Journal:
- arXiv More from this journal
- Publication date:
- 2016-08-01
- Keywords:
- Pubs id:
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pubs:637487
- UUID:
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uuid:0d7f2bc3-23a6-4fb9-9b6c-c2fd4d1baf7e
- Local pid:
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pubs:637487
- Source identifiers:
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637487
- Deposit date:
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2016-08-25
- ARK identifier:
Terms of use
- Copyright holder:
- Melani and Safronov
- Copyright date:
- 2016
- Notes:
- © author(s). This paper has not currently been submitted for publication and is freely available at [http://arxiv.org/abs/1608.01482v1].
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