Contact homology of Brieskorn manifolds

Details Contact homology of Brieskorn manifolds Contact homology of Brieskorn manifolds

2004-10-07

arxiv.org/abs/math/0410208v2

Mathematics

Symplectic Geometry

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

Scientific paper

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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