8 citations · 25 across the 6 of their papers we have counts for
8 papers · 1 filter
Transversality for local Morse homology with symmetries and applications
Doris Hein, Umberto L. Hryniewicz, Leonardo Macarini
We prove the transversality result necessary for defining local Morse chain complexes with finite cyclic group symmetry. Our arguments use special regularized distance functions co…
Periodic Reeb orbits on prequantization bundles
Peter Albers, Jean Gutt, Doris Hein
In this paper, we prove that every graphical hypersurface in a prequantization bundle over a symplectic manifold , pinched between two circle bundles whose ratio of radii is les…
Cuplength estimates in Morse cohomology
Peter Albers, Doris Hein
The main goal of this paper is to give a unified treatment to many known cuplength estimates. As the base case, we prove that for -perturbations of a function which is Morse-B…
Closed Reeb orbits on the sphere and symplectically degenerate maxima
Viktor L. Ginzburg, Doris Hein, Umberto L. Hryniewicz +1
We show that the existence of one simple closed Reeb orbit of a particular type (a symplectically degenerate maximum) forces the Reeb flow to have infinitely many periodic orbits.…
Arnold Conjecture for Clifford Symplectic Pencils
Viktor L. Ginzburg, Doris Hein
We establish a version of the Arnold conjecture, both the degenerate and non-degenerate case, for target manifolds equipped with Clifford pencils of symplectic structures and the d…
Hyperkähler Arnold Conjecture and its Generalizations
Viktor L. Ginzburg, Doris Hein
We generalize and refine the hyperkähler Arnold conjecture, which was originally established, in the non-degenerate case, for three-dimensional time by Hohloch, Noetzel and Salamon…
The Conley conjecture for the cotangent bundle
Doris Hein
We prove the Conley conjecture for cotangent bundles of oriented, closed manifolds, and Hamiltonians which are quadratic at infinity, i.e., we show that such Hamiltonians have infi…
The Conley conjecture for irrational symplectic manifolds
Doris Hein
We prove a generalization of the Conley conjecture: Every Hamiltonian diffeomorphism of a closed symplectic manifold has infinitely many periodic orbits if the first Chern class va…