27 citations · 28 across the 3 of their papers we have counts for
3 papers
math.SG2007★ 1 cited
The quantization of a toric manifold is given by the integer lattice points in the moment polytope
Mark D. Hamilton
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…
math.SG2005★ 27 cited
Minimality and irreducibility of symplectic four-manifolds
M. J. D. Hamilton, D. Kotschick
We prove that all minimal symplectic four-manifolds are essentially irreducible. We also clarify the relationship between holomorphic and symplectic minimality of Kähler surfaces.…
math.SG2004
Symplectic fibrations and Riemann-Roch numbers of reduced spaces
Mark Hamilton, Lisa Jeffrey
In this article we give formulas for the Riemann-Roch number of a symplectic quotient arising as the reduced space corresponding to a coadjoint orbit (for an orbit close to 0) as a…