AbstractLet X2m be one of the spaces of constant curvature and Γ be a discrete and finitely presented subgroup of Iso(X2m). We combine Schläfli’s reduction formula and Poincaré’s formula with the cycle condition to get a formula for the covolume of Γ which only depends on the combinatorics of a fundamental polytope for Γ and the orders of certain stabilizer subgroups of Γ
AbstractThe property that the polynomial cohomology with coefficients of a finitely generated discre...
This book consists of contributions from experts, presenting a fruitful interplay between different ...
peer reviewedWe give a new self-contained proof of Poincaré's Polyhedron Theorem on presentations of...
AbstractLet X2m be one of the spaces of constant curvature and Γ be a discrete and finitely presente...
This thesis concerns hyperbolic Coxeter polytopes, their reflection groups and associated combinator...
AbstractIn his Ph.D. thesis [4], Thomas Fischer suggested how to construct a fundamental domain for ...
AbstractWe define so-called poset-polynomials of a graded poset and use it to give an explicit and g...
"Geometry and Analysis of Discrete Groups and Hyperbolic Spaces". June 22～26, 2015. edited by Michih...
For Coxeter groups acting non-cocompactly but with finite covolume on real hyperbolic space Hn, new...
A convex polytope admits a Coxeter decomposition if it is tiled by finitely many Coxeter polytopes s...
For $O$ an imaginary quadratic ring, we compute a fundamental polyhedron of $\text{PE}_2(O)$, the pr...
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
This note will prove a discreteness criterion for groups of orientation-preserving isometries of the...
AbstractIn this paper we prove that the space Δ(Π¯n)/G is homotopy equivalent to a wedge of spheres ...
We prove a version of Poincaré’s polyhedron theorem whose requirements are as local as possible. New...
AbstractThe property that the polynomial cohomology with coefficients of a finitely generated discre...
This book consists of contributions from experts, presenting a fruitful interplay between different ...
peer reviewedWe give a new self-contained proof of Poincaré's Polyhedron Theorem on presentations of...
AbstractLet X2m be one of the spaces of constant curvature and Γ be a discrete and finitely presente...
This thesis concerns hyperbolic Coxeter polytopes, their reflection groups and associated combinator...
AbstractIn his Ph.D. thesis [4], Thomas Fischer suggested how to construct a fundamental domain for ...
AbstractWe define so-called poset-polynomials of a graded poset and use it to give an explicit and g...
"Geometry and Analysis of Discrete Groups and Hyperbolic Spaces". June 22～26, 2015. edited by Michih...
For Coxeter groups acting non-cocompactly but with finite covolume on real hyperbolic space Hn, new...
A convex polytope admits a Coxeter decomposition if it is tiled by finitely many Coxeter polytopes s...
For $O$ an imaginary quadratic ring, we compute a fundamental polyhedron of $\text{PE}_2(O)$, the pr...
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
This note will prove a discreteness criterion for groups of orientation-preserving isometries of the...
AbstractIn this paper we prove that the space Δ(Π¯n)/G is homotopy equivalent to a wedge of spheres ...
We prove a version of Poincaré’s polyhedron theorem whose requirements are as local as possible. New...
AbstractThe property that the polynomial cohomology with coefficients of a finitely generated discre...
This book consists of contributions from experts, presenting a fruitful interplay between different ...
peer reviewedWe give a new self-contained proof of Poincaré's Polyhedron Theorem on presentations of...
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