Journal article
Deformation spaces and normal forms around transversals
- Abstract:
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Given a manifold M with a submanifold N, the deformation space D(M, N) is a manifold with a submersion to R whose zero fiber is the normal bundle ν(M, N), and all other fibers are equal to M. This article uses deformation spaces to study the local behavior of various geometric structures associated with singular foliations, with N a submanifold transverse to the foliation. New examples include L∞-algebroids, Courant algebroids, and Lie bialgebroids. In each case, we obtain a normal form theor...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 463.1KB)
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- Publisher copy:
- 10.1112/S0010437X1900784X
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Authors
Bibliographic Details
- Publisher:
- Cambridge University Press Publisher's website
- Journal:
- Compositio Mathematica Journal website
- Volume:
- 156
- Issue:
- 4
- Pages:
- 697-732
- Publication date:
- 2020-02-17
- Acceptance date:
- 2019-10-07
- DOI:
- EISSN:
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1570-5846
- ISSN:
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0010-437X
- Source identifiers:
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1081091
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:1081091
- UUID:
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uuid:06465883-403c-417e-b1a6-b8f17e6ec5d8
- Local pid:
- pubs:1081091
- Deposit date:
- 2020-01-07
Terms of use
- Copyright holder:
- Bischoff, F et al.
- Copyright date:
- 2020
- Rights statement:
- © The Authors 2020.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Cambridge University Press at: https://doi.org/10.1112/S0010437X1900784X
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