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Low Dimensional Topology
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Contemporary Mathematics
1999; 249 pp; softcover
Volume: 233
ISBN-10: 0-8218-0884-2
ISBN-13: 978-0-8218-0884-9
List Price: US$65 Member Price: US$52
Order Code: CONM/233

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 Poincaré 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.

Graduate students and research mathematicians working in manifolds and cell complexes; physicists, chemists, and biologists working in genetics and molecular biology.

• V. Poénaru -- $$\pi^\infty_1$$ and infinite simple homotopy type in dimension 3
• L. Funar -- Cubulations mod bubble moves
• I. Bobtcheva and F. Quinn -- Numerical presentations of tortile categories
• I. Bobtcheva -- On Quinn's invariants of 2-dimensional CW-complexes
• H. Murakami -- Quantum $$SU(2)$$-invariants of three-manifolds associated with the trivial first cohomology class modulo two
• T. Ohtsuki -- The perturbative $$SO(3)$$ invariant of homology circles