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Two-parametric hyperbolic octagons and reduced Teichmueller space in genus two | | A. V. Nazarenko
; | | Date: |
23 Jan 2013 | | Abstract: | It is explored a model of compact Riemann surfaces in genus two, represented
geometrically by two-parametric hyperbolic octagons with an order four
automorphism. We compute the generators of associated isometry group and give a
real-analytic description of corresponding Teichm"uller space, parametrized by
the Fenchel-Nielsen variables, in terms of geometric data. We state the
structure of parameter space by computing the Weil-Petersson symplectic
two-form and analyzing the isoperimetric orbits. The results of the paper may
be interesting due to their applications to the quantum geometry, chaotic
systems and low-dimensional gravity. | | Source: | arXiv, 1301.5446 | | Services: | Forum | Review | PDF | Favorites | |
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