**Contemporary Mathematics**

Volume: 233;
1999;
249 pp;
Softcover

MSC: Primary 57;

Print ISBN: 978-0-8218-0884-9

Product Code: CONM/233

List Price: $69.00

Individual Member Price: $55.20

**Electronic ISBN: 978-0-8218-7824-8
Product Code: CONM/233.E**

List Price: $69.00

Individual Member Price: $55.20

# Low Dimensional Topology

Share this page *Edited by *
*Hanna Nencka*

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.

#### Table of Contents

# Table of Contents

## Low Dimensional Topology

- Contents vii8 free
- Preface ix10 free
- π∞1 and infinite simple homotopy type in dimension 3 114 free
- Cubulations mod bubble moves 2942
- Numerical presentations of tortile categories 4558
- On Quinn's invariants of 2-dimensional CW-complexes 6982
- The quadratic form of a link 97110
- Quantum SU(2)-invariants of three-manifolds associated with the trivial first cohomology class modulo two 117130
- An element of infinite order in TQFT-representations of mapping class groups 137150
- The perturbative S0(3) invariant of homology circles 141154
- Configuration space integrals and invariants for 3-manifolds and knots 153166
- The multivariable Alexander polynomial for a closed braid 167180
- Boundary links and h-split links 173186
- Finite type invariants of ribbon 2-knots 187200
- Arrangement of Markov moves for 2-dimensional braids 197210
- A criterion for signed unknotting number 215228
- On some extensions of Artin's braid relations 221234
- Asymptotic behavior of energy of polygonal knots 235248

#### Readership

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