This quantity offers the court cases from the convention on low dimensional topology held on the college of Madeira (Portugal). the development used to be attended by way of prime scientists within the box from the united states, Asia, and Europe. The publication has major components. the 1st is dedicated to the Poincare conjecture, characterizations of $PL$-manifolds, protecting quadratic types of hyperlinks and to different types in low dimensional topology that seem in reference to conformal and quantum box idea. the second one a part of the quantity covers topological quantum box concept and polynomial invariants for rational homology 3-spheres, derived from the quantum $SU(2)$-invariants linked to the 1st cohomology type modulo , knot conception, and braid teams. This assortment displays improvement and development within the box and provides fascinating and new effects.
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