The BRS method and geometric quantization: Some examples

Combinatorics with a geometric flavor: some examples

Some Examples in One–dimensional “Geometric” Scattering

We consider “geometric” scattering for a Laplace-Beltrami operator on a compact Riemannian manifold inserted between “wires,” that is, two half-lines. We discuss applicability and correctness of this model. With an example, we show that such a scattering problem may exhibit unusual properties: the transition coefficient has a sequence of sharp peaks which become more and more distant at high en...

Some remarks on the geometric quantization of contact manifolds

Suppose that (M,E) is a compact contact manifold, and that a compact Lie group G acts on M transverse to the contact distribution E. In [14], we defined a G-transversally elliptic Dirac operator Db / , constructed using a Hermitian metric h and connection ∇ on the symplectic vector bundle E → M , whose equivariant index is well-defined as a generalized function on G, and gave a formula for its ...

Geometric Quantization and Equivariant Cohomology Geometric Quantization and Equivariant Cohomology

Weyl Quantization from Geometric Quantization

In [23] a nice looking formula is conjectured for a deformed product of functions on a symplectic manifold in case it concerns a hermitian symmetric space of non-compact type. We derive such a formula for simply connected symmetric symplectic spaces using ideas from geometric quantization and prequantization of symplectic groupoids. We compute the result explicitly for the natural 2-dimensional...