Orbifold construction of the modes of the Poincare dodecahedral space
Abstract
We provide a new construction of the modes of the Poincare 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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