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arXiv · 1303.5017

The topology of a subspace of the Legendrian curves in a closed contact 3-manifold

Ali Maalaoui·Vittorio Martino
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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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Ali Maalaoui, Vittorio Martino. 2013-03-20. The topology of a subspace of the Legendrian curves in a closed contact 3-manifold. https://arxiv.org/abs/1303.5017

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