Published:
On the string topology of symmetric spaces of higher rank.
Joint work with Philippe Kupper.
Published online in Proceedings of the Royal Society of Edinburgh Section A
https://doi.org/10.1017/prm.2025.10102, 43 pages
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, 67 pages
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:
Approaches to critical point theory via sequential and parametrized topological complexity
Joint work with Stephan Mescher
To appear in: Topological Methods in Nonlinear Analysis
Preprint
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