2 citations · 3 across the 4 of their papers we have counts for
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Quantitative symplectic geometry
K. Cieliebak, H. Hofer, J. Latschev +1
While symplectic manifolds have no local invariants, they do admit many global numerical invariants. Prominent among them are the so-called symplectic capacities. Different capacit…
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…
The symplectic vortex equations and invariants of Hamiltonian group actions
Kai Cieliebak, A. Rita Gaio, Ignasi Mundet i Riera +1
In this paper we define invariants of Hamiltonian group actions for central regular values of the moment map. The key hypotheses are that the moment map is proper and that the ambi…
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…