Hecke modifications, wonderful compactifications and moduli of principal bundles
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Summary: We explicitly give calT, the Teichmüller space of four-holed spheres (which we call X pieces) in trace coordinates, as well as its modular group and a fundamental domain for the action of this group on calT which is its moduli space. As a co ...
An anisotropic structured fixed-bed divided into 2 reactor parts is a bundle reactor consisting of fiber-bundle. The fiber-bundle ordered in the flow direction are formed from filaments; the diam. of the fiber-bundle is smaller than its length and bigger t ...
(Sulzer Chemtech A.-G., Switz.; Ecole Polytechnique Federale de Lausanne (EPFL)).2001
We show how the theory of deformations of geometric structures (development and holonomy) applied to the case of piecewise flat surfaces leads to some interesting geometric structures on the moduli space of a punctured surface. ...
The goal of this paper is to develop some aspects of the deformation theory of piecewise flat structures on surfaces and use this theory to construct new geometric structures on the moduli space of Riemann surfaces. ...
The effect of sizing on bending rigidity in fibre bundles was investigated. Particular attention was paid to the effect of film formers and anti-static agents on the behaviour of glass fibre bundles under forced packing conditions. The bending rigidity of ...
This thesis deals with applications of Lie symmetries in differential geometry and dynamical systems. The first chapter of the thesis studies the singular reduction of symmetries of cosphere bundles, the conservation properties of contact systems and their ...
The correlation between sizing formulation, bundle mechanical characteristics, and bundle-matrix static and dynamic interactions are investigated. Two glass-fiber sizing formulations are considered, one containing polyvinyl acetate (PVAc) and the other pol ...
The parameters affecting the packing stress of fiber mats for melt impregnation, resin transfer molding and compression molding are systematically investigated. An analytical equation based on local bending of fibers, which was previously derived for non-i ...
Using an algebraic formalism based on matrices in SL(2,R), we explicitly give the Teichmüller spaces of Riemann surfaces of signature (0,4) (X pieces), (1,2) ("Fish" pieces) and (2,0) in trace coordinates. The approach, based upon gluing together two build ...
The use of variable-focal-length (VFL) microlenses can provide a way to axially scan the foci across a sample by electronic control. We demonstrate an approach to coupling VFL microlenses individually to a fiber bundle as a way to create a high-throughput ...