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arxiv: 0708.2710 · v2 · submitted 2007-08-21 · 🧮 math.SG

The quantization of a toric manifold is given by the integer lattice points in the moment polytope

classification 🧮 math.SG
keywords givenintegerlatticemanifoldmomentpointspolytopequantization
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We describe a very nice argument, which we learned from Sue Tolman, that the dimension of the quantization space of a toric manifold, using a Kaehler polarization, is given by the number of integer lattice points in the moment polytope.

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    math-ph 2026-04 unverdicted novelty 6.0

    Singular fibers in type (ii) compactified Ruijsenaars-Schneider systems are smooth connected isotropic submanifolds, diffeomorphic to S^3 over singular vertices of the action polytope in simple cases.