Journal article
Symplectic resolutions, Lefschetz property and formality
- Abstract:
-
We introduce a method to resolve a symplectic orbifold(M,ω) into a smooth symplectic manifold −M, −ω. Then we study how the formality and the Lefschetz property of −M, −ω are compared with that of (M,ω). We also study the formality of the symplectic blow-up of (M,ω) along symplectic submanifolds disjoint from the orbifold singularities. This allows us to construct the first example of a simply connected compact symplectic manifold of dimension 8 which satisfies the Lefschetz property but is not formal, therefore giving a counter-example to a conjecture of Babenko and Taimanov.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 236.0KB, Terms of use)
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- Publisher copy:
- 10.1016/j.aim.2008.01.012
Authors
+ Spanish Ministry of Science and Technology
More from this funder
- Grant:
- "MTM2004-07090-C03-01", "MTM2005-08757-C04-02"
- Publisher:
- Elsevier
- Journal:
- Advances in Mathematics More from this journal
- Volume:
- 218
- Issue:
- 2
- Pages:
- 576–599
- Publication date:
- 2008-06-01
- Edition:
- Publisher's version
- DOI:
- ISSN:
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0001-8708
- Language:
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English
- Keywords:
- Subjects:
- UUID:
-
uuid:8f4c8626-1c59-48cc-a0ea-506485906ef2
- Local pid:
-
ora:8084
- Deposit date:
-
2014-02-25
Terms of use
- Copyright holder:
- Elsevier Inc
- Copyright date:
- 2008
- Notes:
- © 2008 Elsevier Inc. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/ (accessed 19/02/2014).
- Licence:
- Other
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