3 papers
math.AT2024
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…
math.AT2022
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…
math.AT2021
Homology transfer products on free loop spaces: orientation reversal on spheres
Philippe Kupper
We consider the space of loops of Sobolev class of a compact smooth manifold , the so-called free loop space of . We take quotients where is…