William D. Kirwin

most citedQuantizing the geodesic flow via adapted complex structures

3 citations · 5 across the 3 of their papers we have counts for

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math.DG2014★ 2 cited

Complex symplectomorphisms and pseudo-Kähler islands in the quantization of toric manifolds

William D. Kirwin, José M. Mourão, João P. Nunes

Let $P$ be a Delzant polytope. We show that the quantization of the corresponding toric manifold $X_{P}$ in toric Kähler polarizations and in the toric real polarization are relate…

math.DG2012

Complex time evolution in geometric quantization and generalized coherent state transforms

William D. Kirwin, José M. Mourão, João P. Nunes

For the cotangent bundle $T^{*} K$ of a compact Lie group $K$ , we study the complex-time evolution of the vertical tangent bundle and the associated geometric quantization Hilbert s…