Contact homology of Brieskorn manifolds

2004/10/07 by Otto van Koert, van Koert, Otto
Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.SG #msc:53D10

paper · pdf · doi:10.48550/arxiv.math/0410208

20 pages; corrected typos, added some explanations in section 2.3; to appear in Forum Mathematicum

arxiv created 2007/05/28 · arxiv updated 2009/12/01

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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