Publications related to Hecke modifications, wonderful compactifications and moduli of principal bundles

On the moduli space of singular Euclidean surfaces

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. ...

Eur. Math. Soc., Zürich2007

Some applications of symmetries in differential geometry and dynamical systems

Oana Mihaela Dragulete

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 ...

EPFL2007

Predicting sizing dependent bending rigidity of glass fibre bundles in sheet moulding compounds

Véronique Michaud, Emmanuelle Comte

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 ...

2006

Trace coordinates of Teichmüller spaces of Riemann surfaces

Thomas Gauglhofer

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 ...

EPFL2006

Piecewise flat Metrics on Surfaces and the Moduli Space

Marc Troyanov

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. ...

2006

Confocal microscopy using variable-focal-length microlenses and an optical fiber bundle

Liza Carol Andrea Dunbar, Toralf Scharf, Lin Yang

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 ...

2005

Trace coordinates of Teichmüller space of Riemann surfaces of signature $(0,4)$

Klaus-Dieter Semmler, Thomas Gauglhofer

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 ...

2005

Correlation between sizing formulation and compressive behaviour of concentrated glass bundle suspensions

Véronique Michaud, Emmanuelle Comte

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 ...

2005

The packing stress of impregnated fiber mats

Véronique Michaud

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 ...

2001

Tube fixed-bed reactor consisting of fiber-bundle for laminar flow

Albert Renken, Lioubov Kiwi, Olivier Wolfrath

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

Hecke modifications, wonderful compactifications and moduli of principal bundles

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On the moduli space of singular Euclidean surfaces

Some applications of symmetries in differential geometry and dynamical systems

Predicting sizing dependent bending rigidity of glass fibre bundles in sheet moulding compounds

Trace coordinates of Teichmüller spaces of Riemann surfaces

Piecewise flat Metrics on Surfaces and the Moduli Space

Confocal microscopy using variable-focal-length microlenses and an optical fiber bundle

Trace coordinates of Teichmüller space of Riemann surfaces of signature $(0,4)$

Correlation between sizing formulation and compressive behaviour of concentrated glass bundle suspensions

The packing stress of impregnated fiber mats

Tube fixed-bed reactor consisting of fiber-bundle for laminar flow

On the moduli space of singular Euclidean surfaces

Piecewise flat Metrics on Surfaces and the Moduli Space

Trace coordinates of Teichmüller space of Riemann surfaces of signature $(0,4)$

Tube fixed-bed reactor consisting of fiber-bundle for laminar flow

Correlation between sizing formulation and compressive behaviour of concentrated glass bundle suspensions

Predicting sizing dependent bending rigidity of glass fibre bundles in sheet moulding compounds

Trace coordinates of Teichmüller spaces of Riemann surfaces

Confocal microscopy using variable-focal-length microlenses and an optical fiber bundle

The packing stress of impregnated fiber mats

Some applications of symmetries in differential geometry and dynamical systems