منابع مشابه
Virtual Braids
Just as classical knots and links can be represented by the closures of braids, so can virtual knots and links be represented by the closures of virtual braids [16]. Virtual braids have a group structure that can be described by generators and relations, generalizing the generators and relations of the classical braid group. This structure of virtual braids is worth study for its own sake. The ...
متن کاملVector Braids
In this paper we deene a new family of groups which generalize the classical braid groups on C. We denote this family by fB m n g nm+1 where n; m 2 N. The family fB 1 n g n2N is the set of classical braid groups on n strings. The group B m n is the set of motions of n unordered points in C m , so that at any time during the motion, each m + 1 of the points span the whole of C m as an aane space...
متن کاملOn the genericity of pseudo-Anosov braids I: rigid braids
We prove that, in the l-ball of the Cayley graph of the braid group with n > 3 strands, the proportion of rigid pseudo-Anosov braids is bounded below independently of l by a positive value.
متن کاملBraids in classical dynamics.
Point masses moving in 2+ I dimensions draw out braids in space-time. If they move under the inAuence of some pairwise potential, what braid types are possible? By starting with fictional paths of the desired topology and "relaxing" them by minimizing the action, we explore the braid types of potentials of the form V(x'r' from a ~ —2, where all braid types occur, to a =2, where the system is in...
متن کاملStrange Questions about Braids
The infinite braid group B∞ admits a left self-distributive structure. In particular, it includes a free monogenerated left self-distributive system, and, therefore, it inherits all properties of the latter object. Here we discuss how such algebraic properties translate into the language of braids. We state new results about braids and propose a list of open questions.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1991
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1991-1072340-1