Is the Deformation Space of Complete Affine Structures on the 2-torus Smooth?
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چکیده
Periods 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 R2. 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 R2.
منابع مشابه
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Periods 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 .
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تاریخ انتشار 2005