Parameterizing Hitchin components

On the Hitchin System

1.1 What is known as the Hitchin system is a completely integrable hamiltonian system (CIHS) involving vector bundles over algebraic curves, identified by Hitchin in ([H1], [H2]). It was recently generalized by Faltings [F]. In this paper we only consider the case of ranktwo vector bundles with trivial determinant. In that case the Hitchin system corresponding to a curve C of genus g is obtaine...

Atiyah-Hitchin M-Branes

We present newM2 and M5 brane solutions in M-theory based on transverse AtiyahHitchin space and other self-dual geometries. One novel feature of these solutions is that they have bolt-like fixed points yet still preserve 1/4 of the supersymmetry. All the solutions can be reduced down to ten dimensional intersecting brane configurations. EMail: [email protected] EMail: [email protected]...

Framed Hitchin Pairs

We provide a construction of the moduli spaces of framed Hitchin pairs and their master spaces. These objects have come to interest as algebraic versions of solutions of certain coupled vortex equations. Our method unifies and generalizes constructions of several similar moduli spaces. 2000 Mathematics Subject Classification: 14D20, 14D22, 14L30.

Parameterizing aerosol-water interactions

Parameterizing N-Holed Tori

We define a parameterization for an n-holed tori based on the hyperbolic polygon. We model the domain using a manifold with 2n+ 2 charts, and linear fractional transformations for transition functions. We embed the manifold using standard spline techniques to produce a surface. CR Categories: I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling, Curve, Surface, Solid, and Objec...