27 citations · 65 across the 22 of their papers we have counts for
11 papers · 1 filter
Integral-integral affine geometry, geometric quantization, and Riemann-Roch
Mark Hamilton, Yael Karshon, Takahiko Yoshida
We give a simple proof that, for a pre-quantized compact symplectic manifold with a Lagrangian torus fibration, its Riemann-Roch number coincides with its number of Bohr-Sommerfeld…
Convergence of polarizations, toric degenerations, and Newton-Okounkov bodies
Mark Hamilton, Megumi Harada, Kiumars Kaveh
Let be a smooth irreducible complex algebraic variety of dimension and a very ample line bundle on . Given a toric degeneration of satisfying some natural te…
Convergence of Kähler to real polarizations on flag manifolds via toric degenerations
Mark D. Hamilton, Hiroshi Konno
In this paper we construct a family of complex structures on a complex flag manifold that converge to the real polarization coming from the Gelfand-Cetlin integrable system, in the…
Inequivalent contact structures on Boothby-Wang 5-manifolds
M. J. D. Hamilton
We consider contact structures on simply-connected 5-manifolds which arise as circle bundles over simply-connected symplectic 4-manifolds and show that invariants from contact homo…
Generalized fibre sums of 4-manifolds and the canonical class
M. J. D. Hamilton
In this paper we determine the integral homology and cohomology groups of a closed 4-manifold X obtained as the generalized fibre sum of two closed 4-manifolds M and N along embedd…
On the geography of symplectic 4-manifolds with divisible canonical class
M. J. D. Hamilton
In this article we consider a version of the geography question for simply-connected symplectic 4-manifolds that takes into account the divisibility of the canonical class as an ad…