# Combinatorial Methods in Topology and Algebraic Geometry

### About this Volume

Edited by: John R. Harper and Richard Mandelbaum

Publication Year
1985: Volume: 44

ISBNs: 978-0-8218-5039-8 (print); 978-0-8218-7629-9 (online)

DOI: http://dx.doi.org/10.1090/conm/044

### Table of Contents

**Front/Back Matter**

**Topology and Combinatorial Group Theory**

- M. Cohen, W. Metzler and K. Sauermann – Collapses of $K\times I$ and group presentations
- Wolfgang Metzler – On the Andrews-Curtis conjecture and related problems
- Martin Lustig and Wolfgang Metzler – Integral representations of ${\rm Aut}\,F^n$ and presentation classes of groups
- Richard Z. Goldstein and Edward C. Turner – A note on commutators and squares in free products
- Kyung Bai Lee and Frank Raymond – Rigidity of almost crystallographic groups
- John R. Stallings – Finite graphs and free groups
- C. L. Tretkoff and M. D. Tretkoff – A topological proof of a theorem of Brunner and Burns about M. Hall groups

**Knot Theory**

- David Gabai – The Murasugi sum is a natural geometric operation. II
- Louis H. Kauffman – The Arf invariant of classical knots
- W. B. Raymond Lickorish – The unknotting number of a classical knot
- Bruce Trace – A general position theorem for surfaces in Euclidean $4$-space

**3-Manifolds**

- Allan L. Edmonds – On the equivariant Dehn lemma
- John Hempel – Virtually Haken manifolds
- José María Montesinos – Lectures on $3$-fold simple coverings and $3$-manifolds
- Hae Soo Oh – Witt classes of torsion linking forms
- Martin Scharlemann – Outermost forks and a theorem of Jaco
- John R. Stallings – Surfaces in $3$-manifolds

**Homotopy Theory and Infinite Dimentional Topology**

- M. G. Barratt – Taming Hopf invariants
- F. R. Cohen – Artin’s braid groups and classical homotopy theory
- Leonard R. Rubin – More compacta of infinite cohomological dimension
- A. Zabrodsky – Endomorphisms in the homotopy category

**Four Manifolds and Algebraic Surfaces**

- Selman Akbulut – On fake $S^3\tilde \times S^1$ #$S^2\times S^2$
- Norman Goldstein – Manifold having nonample normal bundles in quadrics
- Richard Mandelbaum – Lefschetz fibrations of Riemann surfaces and decompositions of complex elliptic surfaces
- B. Moishezon – Algebraic surfaces and the arithmetic of braids. II
- José María Montesinos – A note on moves and on irregular coverings of $S^4$