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For a compact 3-manifold M with arbitrary (possibly empty) boundary, we give a
parametrization of the set of conjugacy classes of boundary-unipotent representations of π1(M)
into SL(n, C). Our param...
Arbitrarily large families of spaces of the same volume
Arbitrarily large families Group Theory Geometric Topology
2011/9/9
Abstract: In any connected non-compact semi-simple Lie group without factors locally isomorphic to SL_2(R), there can be only finitely many lattices (up to isomorphism) of a given covolume. We show th...
There are two natural choices for a volume form on the algebraic group Gl_n over Q: the first is the integral form (unique up to sign), the other is the product of the primitive classes in algebraic ...
A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation
parabolic convection-reaction-diffusion equation math
2010/11/23
We propose a finite volume method on general meshes for the discretization of a degenerate parabolic convection-reaction-diffusion equation. Equations of this type arise in many contexts, such as the ...
A finite volume scheme for convection-diffusion equations with nonlinear diffusion derived from the Scharfetter-Gummel scheme
convection-diffusion equations nonlinear diffusion derived Scharfetter-Gummel scheme
2010/11/15
We propose a finite volume scheme for convection-diffusion equations with nonlinear diffusion. Such equations arise in numerous physical contexts. We will particularly focus on the drift-diffusion sy...
Some functional inequalities on polynomial volume growth Lie groups
Sobolev inequalities polynomial volume growth Lie groups
2010/12/7
We study in this article some Sobolev-type inequalities on polynomial volume growth Lie groups. We show in particular that improved Sobolev inequalities can be extended without
the use of the Littlew...
The Kontsevich constants for the volume of the moduli of curves and topological recursion
Kontsevich constants volume of the moduli of curves topological recursion
2010/12/3
We give an Eynard-Orantin type topological recursion formula for the canonical Euclidean
volume of the combinatorial moduli space of pointed smooth algebraic curves. The recursion
comes from the edg...