27 citations · 65 across the 22 of their papers we have counts for
24 papers
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…
Milnor's isospectral tori and harmonic maps
Mark J. D. Hamilton
A well-known question asks whether the spectrum of the Laplacian on a Riemannian manifold determines the Riemannian metric up to isometry. A similar question is whether…
J-holomorphic curves and Dirac-harmonic maps
M. J. D. Hamilton
Dirac-harmonic maps are critical points of a fermionic action functional, generalizing the Dirichlet energy for harmonic maps. We consider the case where the source manifold is a c…
A lift of the Seiberg-Witten equations to Kaluza-Klein 5-manifolds
M. J. D. Hamilton
We consider Riemannian 4-manifolds with a Spin^c-structure and a suitable circle bundle over such that the Spin^c-structure on lifts to a spin structure on $Y…
A note on T-folds and T3 fibrations
Ismail Achmed-Zade, Mark J. D. Hamilton, Dieter Lust +1
We study stringy modifications of -fibered manifolds, where the fiber undergoes a monodromy in the T-duality group. We determine the fibration data defining such T-folds from…
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…