Orbifold construction of the modes of the Poincare dodecahedral space

Details Orbifold construction of the modes of the Poincare dodecahedral space Orbifold construction of the modes of the Poincare dodecahedral space

2008-01-28

arxiv.org/abs/0801.4232v1

Physics

Mathematical Physics

Scientific paper

10.1088/1751-8113/41/29/295209

We provide a new construction of the modes of the Poincare dodecahedral space
S^3/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 S^3/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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