Maximilian Stegemeyer

collaborators

3 papers

math.AT2026

Transport functions for principal bundles and Morse homology with differential graded coefficients

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…

math.AT2025

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 $S^{1}$ -equivariant homology. We give a complete computation o…

math.DG2025

Extensions of the loop product and coproduct, the space of antipodal paths and resonances of closed geodesics

Maximilian Stegemeyer

We study the space of paths in a closed manifold $M$ with endpoints determined by an involution $f : M \to M$ . If the involution is fixed point free and if $M$ is $2$ -connected…