4 papers
Fueter equations and the search for a higher dimensional Hamiltonian Floer theory I: analytical foundations and compactness
L. Asselle, R. Brilleslijper
We study a Floer-theoretic approach to harmonic maps from the two-torus into non-flat Kähler manifolds. Building on the complex-regularized polysymplectic (CRPS) formalism of [BF24…
Morse homology for a class of elliptic partial differential equations
L. Asselle, S. Cingolani, M. Starostka
In this paper we show that a notion of non-degeneracy which allows to develop Morse theory is generically satisfied for a large class of -functionals defined on Banach spaces.…
On the degenerate Arnold conjecture on
L. Asselle, M. Starostka
In the 1960s Arnold conjectured that a Hamiltonian diffeomorphism of a closed connected symplectic manifold should have at least as many contractible fixed points as a smoo…
Morse homology for the Hamiltonian action in cotangent bundles
L. Asselle, M. Starostka
In this paper we use the gradient flow equation introduced in [10] to construct a Morse complex for the Hamiltonian action on a mixed regularity space of loops in the…