230120b Jagna Wiśniewska

In recent years there have been independently developed a variety of techniques to deal with the issue of non-compactness of a contact manifold. One is the definition of a class of Hamiltonians called tentacular Hamiltonians and the extension of Rabinowitz Floor homology to the non-compact zero level sets thereof. Another is the extension of contact structures to manifolds with singularities called b-contact structures. That rises obvious questions: are any of those techniques related?

In this talk I show that this question can be answered affirmatively and present a class of hyperboloids called tentacular hyperboloids for which those two techniques can be applied alternatively.