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Contact manifolds with symplectomorphic symplectizations

Authors: Courte, Sylvain;

Contact manifolds with symplectomorphic symplectizations

Abstract

We provide examples of contact manifolds of any odd dimension $\geq 5$ which are not diffeomorphic but have exact symplectomorphic symplectizations.

Country
France
Keywords

Whitehead torsion, 53D10, contact geometry, Weinstein homotopy, [MATH.MATH-SG] Mathematics [math]/Symplectic Geometry [math.SG], symplectic geometry, Mathematics - Symplectic Geometry, FOS: Mathematics, Contact manifolds (general theory), Symplectic Geometry (math.SG), Weinstein manifold, Mazur trick, symplectization, Weinstein cobordism

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Average
Average
Green
bronze
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