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 $S^{1}$-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.
The topology of a subspace of the Legendrian curves on a closed contact 3-manifold / Ali Maalaoui; Vittorio Martino. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 14:(2014), pp. 393-426.
The topology of a subspace of the Legendrian curves on a closed contact 3-manifold
MARTINO, VITTORIO
2014
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 $S^{1}$-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.File in questo prodotto:
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