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October, 2000 On the Construction of Contact Submanifolds with Prescribed Topology
A. Ibort, D. Martínez-Torres, F. Presas
J. Differential Geom. 56(2): 235-283 (October, 2000). DOI: 10.4310/jdg/1090347644

Abstract

We prove the existence of contact submanifolds realizing the Poincaré dual of the top Chern class of a complex vector bundle over a closed contact manifold. This result is analogue in the contact category to Donaldson's construction of symplectic submanifolds. The main tool in the construction is to show the existence of sequences of sections which are asymptotically holomorphic in an appropiate sense and that satisfy a transversality with estimates property directly in the contact category. The description of the obtained contact submanifolds allows us to prove an extension of the Lefschetz hyperplane theorem which completes their topological characterization.

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A. Ibort. D. Martínez-Torres. F. Presas. "On the Construction of Contact Submanifolds with Prescribed Topology." J. Differential Geom. 56 (2) 235 - 283, October, 2000. https://doi.org/10.4310/jdg/1090347644

Information

Published: October, 2000
First available in Project Euclid: 20 July 2004

zbMATH: 1034.53088
MathSciNet: MR1863017
Digital Object Identifier: 10.4310/jdg/1090347644

Rights: Copyright © 2000 Lehigh University

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Vol.56 • No. 2 • October, 2000
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