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.
Martino, V. (2014). A Smale Type Result and Applications to Contact Homology. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 2014, 45-56 [10.6092/issn.2240-2829/4718].
A Smale Type Result and Applications to Contact Homology
MARTINO, VITTORIO
2014
Abstract
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.File in questo prodotto:
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