9 citations · 12 across the 4 of their papers we have counts for
11 papers
The topology of the monodromy map of the second order ODE
Dan Burghelea, Nicolau C. Saldanha, Carlos Tomei
We consider the following question: given , which potentials for the second order Sturm-Liouville problem have as its Floquet multiplier? More precisely, def…
Torsion, as a function on the space of representations
Dan Burghelea, Stefan Haller
Riemannian Geometry, Topology and Dynamics permit to introduce partially defined holomorphic functions on the variety of representations of the fundamental group of a manifold. The…
The geometric complex of a Morse-Bott-Smale pair and an extension of a theorem by Bismut-Zhang
Dan Burghelea, Stefan Haller
We define the geometric complex associated to a Morse-Bott-Smale vector field, cf. [Austin-Braam, 1995], and its associated spectral sequence. We prove an extension of the Bismut-Z…
Laplace transform, dynamics and spectral geometry
Dan Burghelea, Stefan Haller
We consider vector fields on a closed manifold with rest points of Morse type. For such vector fields we define the property of exponential growth. A cohomology class $ξ\in…
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 $…