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Fibrations and log-symplectic structures
Cavalcanti, Gil R....
Fibrations and log-symplectic structures by Cavalcanti, Gil R. ( Author )
N.A
01-06-2016
Log-symplectic structures are Poisson structures π on X2n for which ⋀nπ vanishes transversally. By viewing them as symplectic forms in a Lie algebroid, the b-tangent bundle, we use symplectic techniques to obtain existence results for log-symplectic structures on total spaces of fibration-like maps. More precisely, we introduce the notion of a b-hyperfibration and show that they give rise to log-symplectic structures. Moreover, we link log-symplectic structures to achiral Lefschetz fibrations and folded-symplectic structures.
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Article
pdf
36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1606.00156
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