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Licensed Unlicensed Requires Authentication Published by De Gruyter May 4, 2008

Contact homology of Brieskorn manifolds

  • Otto van Koert EMAIL logo
From the journal Forum Mathematicum

Abstract

We give an algorithm for computing the contact homology of some Brieskorn manifolds. Brieskorn manifolds can be regarded as circle-bundles over orbifolds and our algorithm expresses cylindrical contact homology of the Brieskorn manifold in terms of the homology of the underlying orbifold. As an application, we construct infinitely many contact structures on the class of simply connected contact manifolds that admit nice contact forms (i.e. no Reeb orbits of degree –1, 0 or 1) and have index positivity with trivial first Chern class.

1991 Mathematics Subject Classification: 53D10.


(Communicated by Andrew Ranicki)


Received: 2006-06-22
Accepted: 2006-10-02
Published Online: 2008-05-04
Published in Print: 2008-03-01

© Walter de Gruyter

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