Moduli of contact circles

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dc.creatorGeiges, Hansjörg
dc.creatorGonzalo, Jesús
dc.date2001-07-13
dc.date.accessioned2026-07-07T04:42:35Z
dc.date.available2026-07-07T04:42:35Z
dc.descriptionWe 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.
dc.description49 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0107099
dc.identifierhttp://arxiv.org/abs/math/0107099
dc.identifierJ. reine angew. Math. 551 (2002), 41-85.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61846
dc.subjectSymplectic Geometry
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject53D35 (Primary) 58D27, 32G15, 57S30 (Secondary)
dc.titleModuli of contact circles
dc.typetext

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