Differential Topology: Proceedings of the Second Topology Symposium, held in Siegen, FRG, Jul. 27–Aug. 1, 1987

Hugh M. Hilden, Maria Teresa Lozano, José Maria Montesinos (auth.), Ulrich Koschorke (eds.)9783540503699, 3540503692

The main subjects of the Siegen Topology Symposium are reflected in this collection of 16 research and expository papers. They center around differential topology and, more specifically, around linking phenomena in 3, 4 and higher dimensions, tangent fields, immersions and other vector bundle morphisms. Manifold categories, K-theory and group actions are also discussed.

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Table of contents :
On the universal group of the Borromean rings….Pages 1-13
On Kojima’s η-function of links….Pages 14-30
Link maps in the four sphere….Pages 31-43
Multiple point invariants of link maps….Pages 44-86
The $$bar mu$$ -invariants of based links….Pages 87-103
An evaluation of the F-polynomial of a link….Pages 104-108
The enhanced Milnor number in higher dimensions….Pages 109-121
A topological interpretation for the polar quotients of an algebraic plane curve singularity….Pages 122-143
Surgering the equatorial immersion in law dimensions….Pages 144-166
On the index of pullback vector fields….Pages 167-170
Enumeration of immersions of m-manifolds in (2m-2)-manifolds by the singularity method….Pages 171-187
The singularity method and immersions of m-manifolds into manifolds of dimensions 2m − 2, 2m − 3 and 2m − 4….Pages 188-212
On indices of tangent fields with finite singularities….Pages 213-240
Manifold categories of Poincare duality spaces….Pages 241-258
On the K-theory of the classifying spaces of the general linear groups over finite fields….Pages 259-265
A reciprocity law for symmetric products of G-sets….Pages 266-269