5 papers · 1 filter
Transport functions for principal bundles and Morse homology with differential graded coefficients
Maximilian Stegemeyer
We study transport functions as a Morse-theoretical way of describing principal bundles. Transport functions are maps from the spaces of broken gradient flow lines to a topological…
String topology coproduct and Turaev cobracket on surfaces
Jana Hartenstein, Maximilian Stegemeyer
The string topology coproduct on the homology of the free loop space of a closed manifold induces a string cobracket on -equivariant homology. We give a complete computation o…
Intersection Multiplicity in Loop Spaces and the String Topology Coproduct
Philippe Kupper, Maximilian Stegemeyer
The string topology coproduct is often perceived as a counterpart in string topology to the Chas-Sullivan product. However, in certain aspects the string topology coproduct is much…
String topology on the space of paths with endpoints in a submanifold
Maximilian Stegemeyer
In this article we consider algebraic structures on the homology of the space of paths in a manifold with endpoints in a submanifold. The Pontryagin-Chas-Sullivan product on the ho…
On the string topology of symmetric spaces of higher rank
Philippe Kupper, Maximilian Stegemeyer
The homology of the free and the based loop space of a compact globally symmetric space can be studied through explicit cycles. We use cycles constructed by Bott and Samelson and b…