4,966 research outputs found
Wall crossing for symplectic vortices and quantum cohomology
We derive a wall crossing formula for the symplectic vortex invariants of
toric manifolds. As an application, we give a proof of Batyrev's formula for
the quantum cohomology of a monotone toric manifold with minimal Chern number
at least two.Comment: 45 pages, no figures, some typos remove
Floer homology and the heat flow
We study the heat flow in the loop space of a closed Riemannian manifold
as an adiabatic limit of the Floer equations in the cotangent bundle. Our main
application is a proof that the Floer homology of the cotangent bundle, for the
Hamiltonian function kinetic plus potential energy, is naturally isomorphic to
the homology of the loop space.Comment: 83 pages, 1 figure. We introduce a class of abstract perturbations in
order to achieve transversality. The argument carries over to this clas
Trajectories of the S-matrix poles in Salamon-Vertse potential
The trajectories of S-matrix poles are calculated in the finite-range
phenomenological potential introduced recently by P. Salamon and T. Vertse
(SV). The trajectories of the resonance poles in this SV potential are compared
to the corresponding trajectories in a cut-off Woods-Saxon (WS) potential for
l>0. The dependence on the cut-off radius is demonstrated. The starting points
of the trajectories turn out to be related to the average ranges of the two
terms in the SV potential
- …