AbstractWe show that the bar complex of the configuration space of ordered distinct points in the complex plane is acyclic. The 0-dimensional cohomology of this bar complex is identified with the space of finite type invariants for braids. We construct a universal holonomy homomorphism from the braid group to the space of horizontal chord diagrams over Q, which provides finite type invariants for braids with values in Q
AbstractA fundamental step in the classification of finite-dimensional complex pointed Hopf algebras...
We investigate the space C(X) of images of linearly embedded finite simplicial complexes in R isomo...
Abstract. The space of configurations of n ordered points in the plane serves as a classifying space...
AbstractWe show that the bar complex of the configuration space of ordered distinct points in the co...
For any tangle T (up to isotopy) and integer k >= 1 we construct a group F(T) (up to isomorphism). I...
A configuration space is a space whose points represent the possible states of a given physical syst...
Abstract If Γ is any finite graph, then the unlabelled configuration space of n points on Γ, denoted...
AbstractLet Γ be a finite connected graph. The (unlabelled) configuration space UCnΓ of n points on ...
AbstractWe give a simple, explicit construction of a universal finite-type invariant for braids, whi...
The main results of this article are certain connections between braid groups and the homotopy group...
We start defining one of the main objects we want to study. Definition 1. The pure braid space (on n...
Braid Floer homology is an invariant of proper relative braid classes [12]. Closed integral curves o...
68 pages. Change of title, updates and minor reorganization of notes of five lectures presented in t...
. We propose a new method of computing cohomology groups of spaces of knots in R n , n 3, based o...
Let Cn denote the configuration space consisting of all subsets of C having cardinality n, that is, ...
AbstractA fundamental step in the classification of finite-dimensional complex pointed Hopf algebras...
We investigate the space C(X) of images of linearly embedded finite simplicial complexes in R isomo...
Abstract. The space of configurations of n ordered points in the plane serves as a classifying space...
AbstractWe show that the bar complex of the configuration space of ordered distinct points in the co...
For any tangle T (up to isotopy) and integer k >= 1 we construct a group F(T) (up to isomorphism). I...
A configuration space is a space whose points represent the possible states of a given physical syst...
Abstract If Γ is any finite graph, then the unlabelled configuration space of n points on Γ, denoted...
AbstractLet Γ be a finite connected graph. The (unlabelled) configuration space UCnΓ of n points on ...
AbstractWe give a simple, explicit construction of a universal finite-type invariant for braids, whi...
The main results of this article are certain connections between braid groups and the homotopy group...
We start defining one of the main objects we want to study. Definition 1. The pure braid space (on n...
Braid Floer homology is an invariant of proper relative braid classes [12]. Closed integral curves o...
68 pages. Change of title, updates and minor reorganization of notes of five lectures presented in t...
. We propose a new method of computing cohomology groups of spaces of knots in R n , n 3, based o...
Let Cn denote the configuration space consisting of all subsets of C having cardinality n, that is, ...
AbstractA fundamental step in the classification of finite-dimensional complex pointed Hopf algebras...
We investigate the space C(X) of images of linearly embedded finite simplicial complexes in R isomo...
Abstract. The space of configurations of n ordered points in the plane serves as a classifying space...
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