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AFFINE CUBIC SURFACES AND RELATIVE SL(2)-CHARACTER VARIETIES OF COMPACT SURFACES
AFFINE CUBIC SURFACES RELATIVE SL(2)-CHARACTER
2015/9/29
A natural family of affine cubic surfaces arises from
SL(2)-characters of the 4-holed sphere and the 1-holed torus. The
ideal locus is a tritangent plane which is generic in the sense that
the...
FINITE-SIDED DEFORMATION SPACES OF COMPLETE AFFINE 3-MANIFOLDS
3-MANIFOLDS DEFORMATION SPACES
2015/9/29
A Margulis spacetime is a complete affine 3-manifold
M with nonsolvable fundamental group. Associated to every Margulis spacetime is a noncompact complete hyperbolic surface S.
We show that eve...
THE RADIANCE OBSTRUCTION AND PARALLEL FORMS ON AFFINE MANIFOLDS
RADIANCE OBSTRUCTION PARALLEL FORMS
2015/9/29
A manifold M is affine if it is endowed with a distinguished atlas whose
coordinate changes are locally affine. When they are locally linear M is called
radiant. The obstruction to radiance is a o...
Those groups r which act properly discontinuously and aillnely on II?’ with
compact fundamental domain are classified. First it is shown that such a group f
contains a solvable subgroup of finite ...
An affine manifold is a manifold with a distinguished
system of affine coordinates, namely, an open covering by
charts which map homeomorphically onto open sets in an
affine space E such that on ov...
In this paper, we give a characterization of existence of a dense orbit for the action on Cn of an abelian affine subgroup G of GA(n,C). We prove in particular that if G has a dense orbit then the clo...
Shape theory via affine transformation: Some generalisations
Jacobians Jack polynomials generalised hypergeometric functions
2011/2/28
This work sets the statistical affine shape theory in the context of real normed divi-sion algebras. The general densities apply for every field: real, complex, quaternion,octonion, and for any noncen...
On affine maps on non-compact convex sets and some characterizations of finite-dimensional solid ellipsoids
affine maps non-compact convex sets characterizations of finite-dimensional solid ellipsoids
2011/2/25
In recent studies, properties of the set of affine maps between two convex sets have been
investigated with intensive motivation from quantum physics, but in those preceding works
the underlying con...
Infinite loop spaces associated to affine Kac-Moody groups
generalized Cartan matrix infinite loop space affine Kac-Moody group
2011/2/25
It is well known that to each infinite class of classical groups over a commutative ring R, we can associate an infinite loop space by Quillen’s plus construction. In this paper we generalize this fac...
Integrable defects in affine Toda field theory and infinite dimensional representations of quantum groups
Integrable defects affine Toda field theory infinite dimensional representations quantum groups
2011/3/3
Transmission matrices for two types of integrable defect are calculated explicitly, first by solving directly the nonlinear transmission Yang-Baxter equations.
A Geometric Representation of Improper Indefinite Affine Spheres with Singularities
Improper affine spheres Area distances Affine symmetry sets
2011/1/20
We consider in this paper a class of improper indefinite affine spheres with singularities in R3 called indefinite improper affine maps.We propose a representation of surfaces in this class by a pair ...
Projective completions of affine varieties via degree-like functions
Projective completions of affine varieties degree-like functions
2011/1/18
We introduce and study a class of projective completions of ane algebraic varieties which generalize the construction of toric varieties from convex rational polytopes.
A Brylinski filtration for affine Kac-Moody algebras
Brylinski filtration affine Kac-Moody algebras
2011/1/20
Braverman and Finkelberg have recently proposed a conjectural analogue of the geometric Satake isomorphism for untwisted affine Kac-Moody groups.
Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups
Extended weight semigroups affine spherical homogeneous spaces of non-simple semisimple algebraic groups
2011/1/17
The extended weight semigroup of a homogeneous space G/H of a connected semisimple algebraic group G characterizes the spectra of the repre-sentations of G on the spaces of regular sections of homogen...
Affine Bodies Revisited. Constraints, Symmetry, Analytical Methods and Some Perspectives
Affine Bodies Revisited Constraints Symmetry
2011/2/25
The purpose of this publication is to derive and discuss equations of mo-tion of affinely rigid (homogeneously deformable) body moving in Eu-clidean space of general dimension n. Our aim is to present...
