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

collaborators

3 papers

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.SG2014★ 3 cited

Quantizing the geodesic flow via adapted complex structures

William D. Kirwin

The geometric quantization of the geodesic flow on a compact Riemannian manifold via the BKS "dragging projection" yields the Laplacian plus a scalar curvature term. To avoid conve…

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…