Orbifold construction of the modes of the Poincaré dodecahedral space

M. Lachièze-Rey 1 J. Weeks 2
1 APC - Cosmologie et Gravitation
APC - UMR 7164 - AstroParticule et Cosmologie
Abstract : We provide a new construction of the modes of the Poincaré dodecahedral space S3=I. The construction uses the Hopf map, Maxwell's multipole vectors and orbifolds. In particular, the *235-orbifold serves as a parameter space for the modes of S3=I, shedding new light on the geometrical significance of the dimension of each space of k-modes, as well as on the modes themselves.


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Contributor : Marc Lachieze-Rey <>
Submitted on : Friday, January 25, 2008 - 4:16:18 PM
Last modification on : Thursday, April 23, 2015 - 2:12:22 PM

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M. Lachièze-Rey, J. Weeks. Orbifold construction of the modes of the Poincaré dodecahedral space. Journal of Physics A: Mathematical and Theoretical, Institute of Physics: Hybrid Open Access, 2008, 41 (29), pp.295209. <10.1088/1751-8113/41/29/295209>. <hal-00218221>

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