4 citations · 4 across the 1 of their papers we have counts for
7 papers
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…
Parabolic vector bundles and equivariant vector bundles
Ignasi Mundet i Riera
Given a complex manifold , a normal crossing divisor whose irreducible components are smooth, and a choice of natural numbers , we co…
Lifts of smooth group actions to line bundles
Ignasi Mundet i Riera
Let X be a compact manifold with a smooth action of a compact connected Lie group G. Let be a complex line bundle. Using the Cartan complex for equivariant cohomology, we…
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…