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math.SG2026
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…
math.SG2024
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…
math.SG2022
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…