The path-integral approach to representing braid group is generalized for particles with spin.
Introducing the notion of charged winding number in the super-plane, we represent the braid …

We show that the notion of mutual statistics arises naturally from the representation theory of
the braid group over the multi-sheeted surface. A Hamiltonian which describes particles …

We examine the application of c= 1 conformal field theory to the description of the fractional
quantum Hall effect (FQHE). It is found that the Gaussian model together with an appropriate …

The braid group dynamics captures the fractional quantum Hall effect (FQHE) as a
manifestation of puncture phase. When the dynamics is generalized for particles on a multi …

In this thesis, we present a novel approach to the theoretical formulation of frac-tional
quantum Hall effect (FQHE). Beginning with a representation theory of the braid group, we …

arXiv:cond-mat/9907290v1 20 Jul 1999 Page 1 arXiv:cond-mat/9907290v1 20 Jul 1999 KNOT
THEORY AND THE PROBLEM OF CLASSIFICATION FOR PLASTIC STATE Trinh Van Khoa …

DEFORMATION OF MEDIUM HAVING STRING Page 1 Vietnam Journal of Mechanics, VAST,
Vol. 27, No. 4 (2005), pp. 240-244 DEFORMATION OF MEDIUM HAVING STRING STRUCTURE …

arXiv:cond-mat/0304305v1 13 Apr 2003 Page 1 arXiv:cond-mat/0304305v1 13 Apr 2003
Deformation of environment having string structure in view of the topological characteristics …