Is the deformation space of complete affine structures on the 2-torus smooth?

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dc.creatorBaues, Oliver
dc.creatorGoldman, William M.
dc.date2004-01-20
dc.date2005-06-14
dc.date.accessioned2026-07-07T06:28:05Z
dc.date.available2026-07-07T06:28:05Z
dc.descriptionPeriods of parallel exterior forms define natural coordinates on the deformation space of complete affine structures on the two-torus. These coordinates define a differentiable structure on this deformation space, under which it is diffeomorphic to $R^2$. The action of the mapping class group of $T^2$ is equivalent in these coordinates with the standard linear action of $\SL_2(Z)$ on $R^2$.
dc.description26 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/math/0401257
dc.identifierhttp://arxiv.org/abs/math/0401257
dc.identifierContemporary Mathematics, Volume 389, 2005, p. 69 -89
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97612
dc.subjectDifferential Geometry
dc.subject58D29,(22E40,22F30,57S30)
dc.titleIs the deformation space of complete affine structures on the 2-torus smooth?
dc.typetext

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