Published:
Extensions of the loop product and coproduct, the space of antipodal paths and resonances of closed geodesics
Published online in Journal of Fixed Point Theory and Applications
https://doi.org/10.1007/s11784-025-01225-z
String topology on the space of paths with endpoints in a submanifold
Adv. Studies: Euro-Tbilisi Math. J. 18 (2), 1 - 43, (2025)
https://doi.org/10.32513/asetmj/193220082518201
The string topology coproduct on complex and quaternionic projective space.
Manuscripta Mathematica, 174, 897-936 (2024).
https://doi.org/10.1007/s00229-023-01532-0
Geodesic complexity of homogeneous Riemannian manifolds.
Joint work with Stephan Mescher.
Algebraic and Geometric Topology, 23, 2221–2270 (2023) .
http://dx.doi.org/10.2140/agt.2023.23.2221
Geodesic complexity via fibered decompositions of cut loci.
Joint work with Stephan Mescher.
Journal of Applied and Computational Topology, 7, 397–425 (2023).
https://doi.org/10.1007/s41468-022-00107-4
On the string topology coproduct for Lie groups.
Homology, Homotopy and Applications, 24, no. 2, 327-345 (2022).
http://dx.doi.org/10.4310/HHA.2022.v24.n2.a17
Accepted for Publication:
Intersection Multiplicity in Loop Spaces and the String Topology Coproduct
Joint work with Philippe Kupper.
To appear in: Springer Tohoku Series in Mathematical Sciences
Preprint
Preprints:
String topology coproduct and Turaev cobracket on surfaces
Joint work with Jana Hartenstein
Preprint
Approaches to critical point theory via sequential and parametrized topological complexity
Joint work with Stephan Mescher
Preprint
On the string topology of symmetric spaces of higher rank.
Joint work with Philippe Kupper.
Preprint