The workshop concentrated on important and interrelated invariants in low dimensional topology. This work involved virtual knot theory, knot theory, three and four dimensional manifolds and their properties.

Riemannian manifolds with positive scalar curvature play an important role in mathematics and general relativity. Obstruction and existence results are connected to index theory, bordism theory and homotopy theory, using ...

The purpose of this Arbeitsgemeinschaft was to study and—as far as possible—compare three generalisations of the classical Franz-Reidemeister torsion to families E → B of manifolds. Dwyer, Weiss and Williams construct ...

This Arbeitsgemeinschaft focused on the interplay among rational homotopy theory, differential geometry and the physics of string topology. The talks centered on one hand on how geometry and string topology make use of ...

In this survey paper we present the L-moves between braids and how they can adapt and serve for establishing and proving braid equivalence theorems for various diagrammatic settings, such as for classical knots, for knots ...

In recent years, the family of groups sharing features or design principles with classical Thompson groups has grown considerably. The workshop highlights new developments in this field with special emphasis on algorithmic ...

This is a report on a meeting on interactions and applications of the cohomology of finite groups. Besides several talks on the cohomology of finite groups there were talks on related subjects, in particular on the cohomology ...

The cohomology of finite groups is an important tool in many subjects including representation theory and algebraic topology. This meeting was the fifth in a series that has emphasized the interactions of group ...

Computational topology is a young, emerging field of mathematics that seeks out practical algorithmic methods for solving complex and fundamental problems in geometry and topology. It draws on a wide variety of techniques ...

Abstract. The meeting continued the biannual conference series Differentialgeometrie im Großen at the MFO which was established in the 60’s by Klingenberg and Chern. Global Riemannian geometry with its connections to ...