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Contact homology of Brieskorn manifolds

Otto van Koert

math.SGarXiv:math/0410208

Abstract

We give an algorithm for computing the contact homology of some Brieskorn manifolds. 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.

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