相关论文: Topological transformation groups

This paper is a survey of some properties of the braid groups and related groups that lead to questions on mapping class groups.

Several results on presenting an affine algebraic group variety as a product of algebraic varieties are obtained.

In this note some properties of the sum of element orders of a finite abelian group are studied.

This is a survey on appearances of reflection groups, real and complex, in algebraic geometry. We also include a brief introduction into the theory of reflection groups.

We study groups generated by sets of pattern avoiding permutations. In the first part of the paper we prove some general results concerning the structure of such groups. In the second part we carry out a case-by-case analysis of groups…

A survey of problems, conjectures, and theorems about quasi-isometric classification and rigidity for finitely generated solvable groups.

This work contributes to the analysis of linear geometric polygon transformations with the aim to force a desired shape by an iterative procedure.

We will study several subgroups of continuous full groups of one-sided topological Markov shifts from the view points of cohomology groups of full group actions on the shift spaces. We also study continuous orbit equivalence and strongly…

This is a slightly edited version of the transparencies for a seminar at UCL, May 7, 2003. It is intended to give a quick view of background, ideas, and some calculations, in the applicatioon of some non commutative methods to algebraic…

The main purpose of this paper is to give a new definition for the notion of group-groupoid. Also, several basic properties of group-groupoids are established.

This book covers many of the recent results on group actions on the circle, with an emphasis in the differentiable case.

A priori, the set of birational transformations of an algebraic variety is just a group. We survey the possible algebraic structures that we may add to it, using in particular parametrised family of birational transformations.

In this paper we give an overview of different Morse-theoretic methods used to study the topology of moduli spaces of Higgs bundles.

In this article topologies on metagroups are studied. They are related with generalized $C^*$-algebras over ${\bf R}$ or ${\bf C}$. Homomorphisms and quotient maps on them are investigated. Structure of topological metagroups is…

We provide isomorphism results for Hopf algebras that are obtained as graded twistings of function algebras on finite groups by cocentral actions of cyclic groups. More generally , we also consider the isomorphism problem for…

We completely determine cohomology groups of sections of homogeneous line bundles over a toroidal group.

The purpose of this study is to examine the effect of topology change in the initial universe. In this study, the concept of $G$-cobordism is introduced to argue about the topology change of the manifold on which a transformation group…

We give a survey of some known results and of the many open questions in the study of generic phenomena in geometrically interesting groups.

We introduce and study varions notions of completeness of translation-invariant ideals in groups.

Recent results concerning the relation of topology and low-lying fermion modes are summarized.