This volume presents the proceedings from the conference on low dimensional topology held at the University of Madeira (Portugal). The event was attended by leading scientists in the field from the U.S., Asia, and Europe. The book has two main parts. The first is devoted to the Poincare conjecture, characterizations of $PL$-manifolds, covering quadratic forms of links and to categories in low dimensional topology that appear in connection with conformal and quantum field theory. The second part of the volume covers topological quantum field theory and polynomial invariants for rational homology 3-spheres, derived from the quantum $SU(2)$-invariants associated with the first cohomology class modulo two, knot theory, and braid groups. This collection reflects development and progress in the field and presents interesting and new results.
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978-0-8218-0884-9 (9780821808849)
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Schweitzer Klassifikation
$\pi^\infty_1$ and infinite simple homotopy type in dimension 3 by V. Poenaru Cubulations mod bubble moves by L. Funar Numerical presentations of tortile categories by I. Bobtcheva and F. Quinn On Quinn's invariants of 2-dimensional CW-complexes by I. Bobtcheva The quadratic form of a link by A. Kawauchi Quantum $SU(2)$-invariants of three-manifolds associated with the trivial first cohomology class modulo two by H. Murakami An element of infinite order in TQFT-representations of mapping class groups by G. Masbaum The perturbative $SO(3)$ invariant of homology circles by T. Ohtsuki Configuration space integrals and invariants for 3-manifolds and knots by A. S. Cattaneo The multivariable Alexander polynomial for a closed braid by H. R. Morton Boundary links and h-split links by K. Kobayashi Finite type invariants of ribbon 2-knots by K. Habiro, T. Kanenobu, and A. Shima Arrangement of Markov moves for 2-dimensional braids by S. Kamada A criterion for signed unknotting number by P. Traczyk On some extensions of Artin's braid relations by H. Nencka Asymptotic behavior of energy of polygonal knots by J. O'Hara.
