M. Starostka

collaborators

2 papers

math.AP2025

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 $C^{2}$ -functionals defined on Banach spaces.…

math.SG2024

On the degenerate Arnold conjecture on $T^{2 m} \times C P^{n}$

L. Asselle, M. Starostka

In the 1960s Arnold conjectured that a Hamiltonian diffeomorphism of a closed connected symplectic manifold $(M, I ¨ )$ should have at least as many contractible fixed points as a smo…

Morse homology for a class of elliptic partial differential equations

On the degenerate Arnold conjecture on T2m×CPn

On the degenerate Arnold conjecture on $T^{2 m} \times C P^{n}$