New Ideas in Low Dimensional Topology

✍ Scribed by Kauffman, Louis H.; Manturov, Vassily Olegovič (eds.)

• Publisher: World Scientific Publishing Co
• Year: 2015
• Tongue: English
• Leaves: 541
• Series: Series on knots and everything 56
• Category: Library

✦ Synopsis

This book consists of a selection of articles devoted to new ideas and develpments in low dimensional topology. Low dimensions refer to dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted submanifolds of dimension one in three (classical knot theory) and two in four (surfaces in four dimensional spaces). Some of the work involves virtual knot theory where the knots are abstractions of classical knots but can be represented by knots embedded in surfaces. This leads both to new interactions with classical topology and to new interactions with essential combinatorics.

Readership: Researchers in knots theory and topology

✦ Subjects

Low-dimensional topology;Topological manifolds;Topologie de basse dimension;Variétés topologiques