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On the equivariant K-homology of PSL_2 of the imaginary quadratic integers
(Association des Annales de l'Institut Fourier, 2016-09)
We establish formulae for the part due to torsion of the equivariant $K$-homology of all the Bianchi groups (PSL$_2$ of the imaginary quadratic integers), in terms of elementary number-theoretic quantities. To achieve this, ...
The mod 2 cohomology rings of SL2 of the imaginary quadratic integers
(Elsevier ScienceDirect, 2015-09-28)
We establish general dimension formulae for the second page of the equivariant spectral sequence of the action of the SL2 groups over imaginary quadratic integers on their associated symmetric space. By way of doing this, ...
On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 2013-07-16)
We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the non-trivial degeneration limit where one torus is pinched down ...
On the composition product of saturated fusion systems
(Elsevier, 2011-11)
We say that a fusion system is the composition product of two subsystems if every morphism can be factored as a morphism in one fusion system followed by a morphism in the other. We establish a relationship between the ...
Introduction to the special issue on stability under finite deformation
(Oxford University Press, 2010)
In the botanical gardens of Grenoble, France, there is small bridge, just a few metres long, made of pre-stressed concrete. The bridge dates back to 1855 and is thought to be the oldest manufactured pre-stressed structure ...
At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials
(Springer, 2013-04-18)
The modelling of off-axis simple tension experiments on transversely isotropic nonlinearly elastic materials is considered. A testing protocol is proposed where normal force is applied to one edge of a rectangular specimen ...
Shear instability in skin tissue
(Oxford University Press, 2013)
We propose two toy-models to describe, predict and interpret the wrinkles appearing on the surface of skin when it is sheared. With the first model, we account for the lines of greatest tension present in human skin by ...
Uniform transmural strain in pre-stressed arteries occurs at physiological pressure
(Elsevier, 2012-06-21)
Residual deformation (strain) exists in arterial vessels, and has been previously proposed to induce homogeneous transmural strain distribution. In this work, we present analytical formulations that predict the existence ...
Influence of preservation temperature on the measured mechanical properties of brain tissue
(Elsevier, 2013-04-26)
The large variability in experimentally measured mechanical properties of brain tissue is due to many factors including heterogeneity, anisotropy, age dependence and post-mortem time. Moreover, differences in test protocols ...
Toward a predictive assessment of stab-penetration forces
(Lippincott, Williams & Wilkins, 2015-09)
Collaborative research between the disciplines of forensic pathology and biomechanics was undertaken to investigate the hyperelastic properties of human skin, to determine the force required for sharp instrument penetration ...