69 citations · 90 across the 9 of their papers we have counts for
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math-ph2015★ 7 cited
The metaplectic correction in geometric quantization
Gijs M. Tuynman
Let be a polarization on a symplectic manifold for which there exists a metalinear frame bundle. We show that for any other compatible polarization there exists a unique m…
math-ph2009★ 5 cited
Geometric Quantization of Superorbits: a Case Study
Gijs M. Tuynman
By decomposing the regular representation of a particular (Heisenberg-like) Lie supergroup into irreducible subspaces, we show that not all of them can be obtained by applying geom…
math-ph2003
Super Symplectic Geometry and Prequantization
Gijs M. Tuynman
We review the prequantization procedure in the context of super symplectic manifolds with a symplectic form which is not necessarily homogeneous. In developing the theory of non ho…