58 citations · 125 across the 13 of their papers we have counts for
4 papers · 1 filter
The Yang-Mills Gradient Flow and Loop Spaces of Compact Lie Groups
Jan Swoboda
We study the gradient flow of the Yang--Mills functional on the space of connection 1-forms on a principal -bundle over the sphere from the perspective of Morse theo…
Morse Homology for the Yang-Mills Gradient Flow
Jan Swoboda
We use the Yang-Mills gradient flow on the space of connections over a closed Riemann surface to construct a Morse-Bott chain complex. The chain groups are generated by Yang-Mills…
Hofer Geometry of a Subset of a Symplectic Manifold
Jan Swoboda, Fabian Ziltener
To every closed subset of a symplectic manifold we associate a natural group of Hamiltonian diffeomorphisms . We equip this group with a semi-norm $\Vert\cdot…
Coisotropic Displacement and Small Subsets of a Symplectic Manifold
Jan Swoboda, Fabian Ziltener
We prove a coisotropic intersection result and deduce the following: 1. Lower bounds on the displacement energy of a subset of a symplectic manifold, in particular a sharp stable e…