11 citations · 11 across the 2 of their papers we have counts for
6 papers
A construction of the Deligne--Mumford orbifold
Joel W. Robbin, Dietmar A. Salamon
We define the Deligne Mumford orbifold axiomatically by a universal mapping property, show that this universal mapping property is equivalent to an infinitessimal universal mapping…
Wall crossing for symplectic vortices and quantum cohomology
Kai Cieliebak, Dietmar A. Salamon
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 m…
Propagation in Hamiltonian dynamics and relative symplectic homology
Paul Biran, Leonid Polterovich, Dietmar Salamon
The main result asserts the existence of noncontractible periodic orbits for compactly supported time dependent Hamiltonian systems on the unit cotangent bundle of the torus or of…
Gromov-Witten invariants of symplectic quotients and adiabatic limits
A. Rita Gaio, Dietmar A. Salamon
We study pseudoholomorphic curves in symplectic quotients as adiabatic limits of solutions of a system of nonlinear first order elliptic partial differential equations in the ambie…
Loops of Lagrangian submanifolds and pseudoholomorphic discs
Meike Akveld, Dietmar Salamon
The main theorem of this paper asserts that the inclusion of the space of projective Lagrangian planes into the space of Lagrangian submanifolds of complex projective space induces…
J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions
Kai Cieliebak, Ana Rita Gaio, Dietmar A. Salamon
We outline the construction of invariants of Hamiltonian group actions on symplectic manifolds. These invariants can be viewed as an equivariant version of Gromov-Witten invariants…