Moduli of contact circles

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We continue the study of linear families of contact forms on 3-manifolds begun in our paper `Contact geometry and complex surfaces'. The present paper introduces Teichmuller and moduli spaces for so-called taut contact circles. By constructing a developing map for taut contact circles, we show that these geometrically defined deformation spaces are equivalent to certain spaces of representations of the fundamental group in appropriate Lie groups. Furthermore, we relate these deformation spaces to `classical' Teichmuller theory of Riemann surfaces and orbifolds.
49 pages, 2 figures

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Symplectic Geometry, Complex Variables, Differential Geometry, 53D35 (Primary) 58D27, 32G15, 57S30 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/61846

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0107099
 http://arxiv.org/abs/math/0107099
 J. reine angew. Math. 551 (2002), 41-85.

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arXiv