A Smale Type Result and Applications to Contact Homology
Martino, Vittorio
Bruno Pini Mathematical Analysis Seminar, (2014), / Harvested from Bruno Pini Mathematical Analysis Seminar
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In this note we will show that the injection of a suitable subspace of the space of Legendrian loops into the full loop space is an S1-equivariant homotopy equivalence. Moreover, since the smaller space is the space of variations of a given action functional, we will compute the relative Contact Homology of a family of tight contact forms on the three-dimensional torus.

Publié le : 2014-01-01
DOI : https://doi.org/10.6092/issn.2240-2829/4718 
@article{4718,
     title = {A Smale Type Result and Applications to Contact Homology},
     journal = {Bruno Pini Mathematical Analysis Seminar},
     year = {2014},
     doi = {10.6092/issn.2240-2829/4718},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/4718}
}

Martino, Vittorio. A Smale Type Result and Applications to Contact Homology. Bruno Pini Mathematical Analysis Seminar,  (2014), . doi : 10.6092/issn.2240-2829/4718. http://gdmltest.u-ga.fr/item/4718/