Math Papers


A Morse-Bott approach to contact homology
in "Symplectic and Contact Topology : Interactions and Perspectives", Fields Institute Communications 35 (2003), 55-77.
Contact homology was introduced by Eliashberg, Givental and Hofer; this contact invariant is based on J-holomorphic curves in the symplectization of a contact manifold. We expose an extension of contact homology to Morse-Bott situations, in which closed Reeb orbits form submanifolds of the contact manifold. We then illustrate how to use this to compute contact homology with several examples.
This is a paper announcing the results of my PhD thesis. You can download it in PostScript or in PDF format.
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