73 citations · 308 across the 22 of their papers we have counts for
6 papers · 1 filter
Finite subgroups of Ham and Symp
Ignasi Mundet i Riera
Let be a compact symplectic manifold of dimension and let be its group of Hamiltonian diffeomorphisms. We prove the existence of a constant , depending o…
Finite groups acting symplectically on
Ignasi Mundet i Riera
For any symplectic form on we construct infinitely many nonisomorphic finite groups which admit effective smooth actions on that are trivial in…
A compactification of the moduli space of twisted holomorphic maps
Ignasi Mundet i Riera, Gang Tian
We construct a compactification of the moduli space of twisted holomorphic maps with varying complex structure and bounded energy. For a given compact symplectic manifold with…
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…
Hamiltonian Gromov-Witten invariants
Ignasi Mundet i Riera
In this paper we introduce invariants of semi-free Hamiltonian actions of $S\sp 1$ on compact symplectic manifolds (which satisfy some technical conditions related to positivity) u…
Yang-Mills-Higgs theory for symplectic fibrations
Ignasi Mundet i Riera
Our aim in this work is to study a system of equations which generalises at the same time the vortex equations of Yang-Mills-Higgs theory and the holomorphicity equation in Gromov…