19 citations · 22 across the 3 of their papers we have counts for
7 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…
Three approaches to Morse-Bott homology
David E. Hurtubise
In this paper we survey three approaches to computing the homology of a finite dimensional compact smooth closed manifold using a Morse-Bott function and discuss relationships amon…
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…
Multicomplexes and spectral sequences
David E. Hurtubise
In this note we present some algebraic examples of multicomplexes whose differentials differ from those in the spectral sequences associated to the multicomplexes. The motivation f…
The Morse-Bott inequalities via dynamical systems
Augustin Banyaga, David Hurtubise
Let be a Morse-Bott function on a compact smooth finite dimensional manifold . The polynomial Morse inequalities and an explicit perturbation of defined…