Add to ORKGWe consider the braid group Bn(X) on a finite simplicial complex X, which is a generalization of those on both manifolds and graphs that have been studied already by many authors. We figure out the relationships between geometric decompositions for X and their effects on the braid groups. As applications, we give complete criteria for both the surface embeddability and planarity for X, which are the torsion-freeness of the braid group Bn(X) and its abelianization H1(Bn(X)), respectively. © 2017 Elsevier B.V. All rights reserved.
17 pagesInternational audienceLet M be a compact, connected surface, possibly with a finite set of p...
17 pagesInternational audienceLet M be a compact, connected surface, possibly with a finite set of p...
Abstract. The disjoint union of mapping class groups of surfaces forms a braided monoidal category M...
AbstractWe give presentations of braid groups and pure braid groups on surfaces and we show some pro...
47 pages, 5 figuresInternational audienceWe give a survey of the theory of surface braid groups and ...
47 pages, 5 figuresInternational audienceWe give a survey of the theory of surface braid groups and ...
Braid groups are an important and flexible tool used in several areas of science, such as Knot Theor...
Abstract. This paper is a small survey on some recent developments on sur-face braid groups (denoted...
We show that the morphisms from the braid group with n strands in the mapping class group of a surfa...
AbstractWe describe some of the properties of the pure braid groups of surfaces different from S2 an...
24 pages ; 7 figuresIn this paper we introduce the framed pure braid group on $n$ strands of an orie...
Christine LESCOP (CNRS, Université de Grenoble I), Présidente;Thomas FIEDLER (Université Paul Sabati...
24 pages ; 7 figuresIn this paper we introduce the framed pure braid group on $n$ strands of an orie...
In this paper we give new presentations of the braid groups and the pure braid groups of a closed s...
17 pagesInternational audienceLet M be a compact, connected surface, possibly with a finite set of p...
17 pagesInternational audienceLet M be a compact, connected surface, possibly with a finite set of p...
17 pagesInternational audienceLet M be a compact, connected surface, possibly with a finite set of p...
Abstract. The disjoint union of mapping class groups of surfaces forms a braided monoidal category M...
AbstractWe give presentations of braid groups and pure braid groups on surfaces and we show some pro...
47 pages, 5 figuresInternational audienceWe give a survey of the theory of surface braid groups and ...
47 pages, 5 figuresInternational audienceWe give a survey of the theory of surface braid groups and ...
Braid groups are an important and flexible tool used in several areas of science, such as Knot Theor...
Abstract. This paper is a small survey on some recent developments on sur-face braid groups (denoted...
We show that the morphisms from the braid group with n strands in the mapping class group of a surfa...
AbstractWe describe some of the properties of the pure braid groups of surfaces different from S2 an...
24 pages ; 7 figuresIn this paper we introduce the framed pure braid group on $n$ strands of an orie...
Christine LESCOP (CNRS, Université de Grenoble I), Présidente;Thomas FIEDLER (Université Paul Sabati...
24 pages ; 7 figuresIn this paper we introduce the framed pure braid group on $n$ strands of an orie...
In this paper we give new presentations of the braid groups and the pure braid groups of a closed s...
17 pagesInternational audienceLet M be a compact, connected surface, possibly with a finite set of p...
17 pagesInternational audienceLet M be a compact, connected surface, possibly with a finite set of p...
17 pagesInternational audienceLet M be a compact, connected surface, possibly with a finite set of p...
Abstract. The disjoint union of mapping class groups of surfaces forms a braided monoidal category M...