49 citations · 216 across the 41 of their papers we have counts for
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Results on infinite dimensional topology and applications to the structure of the critical set of nonlinear Sturm-Liouville operators
Dan Burghelea, Nicolau C. Saldanha, Carlos Tomei
We consider the nonlinear Sturm-Liouville differential operator for , a Sobolev space of functions satisfying Dirichlet boundary condition…
Non-contractible periodic trajectories of symplectic vector fields, Floer cohomology and symplectic torsion
Dan Burghelea, Stefan Haller
For a closed symplectic manifold , a compatible almost complex structure , a 1-periodic time dependent symplectic vector field and a homotopy class of closed curves $…
A short course on Witten Helffer-Sjöstrand theory
Dan Burghelea
Witten-Helffer-Sjöstrand theory is an addition to Morse theory and Hodge-de Rham theory for Riemannian manifolds and considerably improves on them by injecting some spectral theory…
On the topology and analysis of a closed one form. I (Novikov's theory revisited)
Dan Burghelea, Stefan Haller
We consider systems with a closed smooth manifold, a real valued closed one form and a Riemannian metric, so that is a Morse-Smale pair, Definition~2.…