Quantisation on the Two-Handled Sphere

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  • Crehan P.
    Dept. of Mathematics, Faculty of Science, University of Kyoto

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  • Quantization on the Two-Handled Sphere

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Abstract

There is a class of polygonal billiards which can be mapped into classical flows on the surface of a g-handled sphere. In particular the π/3-rhombus billiard flow is equivalent to a flow on the surface of a two-handled sphere. The quantisation of this system is as yet an unsolved problem.

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