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

ISBN-13: 9783540503699 / Angielski / Miękka / 1988 / 276 str.

Ulrich Koschorke

Opis

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.

Spis treści

On the universal group of the Borromean rings.- On Kojima's ?-function of links.- Link maps in the four sphere.- Multiple point invariants of link maps.- The -invariants of based links.- An evaluation of the F-polynomial of a link.- The enhanced Milnor number in higher dimensions.- A topological interpretation for the polar quotients of an algebraic plane curve singularity.- Surgering the equatorial immersion in law dimensions.- On the index of pullback vector fields.- Enumeration of immersions of m-manifolds in (2m-2)-manifolds by the singularity method.- The singularity method and immersions of m-manifolds into manifolds of dimensions 2m ? 2, 2m ? 3 and 2m ? 4.- On indices of tangent fields with finite singularities.- Manifold categories of Poincare duality spaces.- On the K-theory of the classifying spaces of the general linear groups over finite fields.- A reciprocity law for symmetric products of G-sets.