19 citations · 24 across the 8 of their papers we have counts for
9 papers
Twisted Morse complexes
Augustin Banyaga, David Hurtubise, Peter Spaeth
In this paper we study Morse homology and cohomology with local coefficients, i.e. "twisted" Morse homology and cohomology, on closed finite dimensional smooth manifolds. We prove…
The symplectic displacement energy
Augustin Banyaga, David E. Hurtubise, Peter Spaeth
We define the symplectic displacement energy of a non-empty subset of a compact symplectic manifold as the infimum of the Hofer-like norm [5] of symplectic diffeomorphisms that dis…
Cascades and perturbed Morse-Bott functions
Augustin Banyaga, David E. Hurtubise
Let be a Morse-Bott function on a finite dimensional closed smooth manifold . Choosing an appropriate Riemannian metric on and Morse-Smale funct…
Uniqueness of contact Hamiltonians of topological strictly contact isotopies
Augustin Banyaga, Peter Spaeth
We prove that for regular contact forms there exists a bijective correspondence between the limits of sequences of smooth strictly contact isotopies and the limits with respe…
On the group of strong symplectic homeomorphisms
Augustin Banyaga
We generalize the "hamiltonian topology" on hamiltonian isotopies to an intrinsic "symplectic topology" on the space of symplectic isotopies. We use it to define the group $SSympeo…
A Hofer-like metric on the group of symplectic diffeomorphisms
Augustin Banyaga
Using a "Hodge decomposition" of symplectic isotopies on a compact symplectic manifold , we construct a norm on the identity component in the group of all symplectic diffeom…