The Topology of a Subspace of the Legendrian Curves on a Closed Contact 3-Manifold

  title={The Topology of a Subspace of the Legendrian Curves on a Closed Contact 3-Manifold},
  author={Ali Maalaoui and Vittorio Martino},
  journal={Advanced Nonlinear Studies},
  pages={393 - 426}
Abstract In this paper we study a subspace of the space of Legendrian loops and we show that the injection of this space into the full loop space is an S1-equivariant homotopy equivalence. This space can be also seen as the space of zero Maslov index Legendrian loops and it shows up as a suitable space of variations in contact form geometry. 

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