A1: Topological aspects of symplectic manifolds with symmetries
Heinzner, Reineke, Sabatini
Abstract: We study topological properties of symplectic manifolds with a Lie group action by symplectomorphisms. Central goals are the computation of topological invariants, classifications of suitable classes of such manifolds, and approaches to symplectic analogues of the Mukai conjecture and the Kobayashi-Ochiai theorem. We study symplectic reductions of Hamiltonian actions on Kähler manifolds related to quivers, with the goal of establishing new correspondences between Gromov-Witten invariants and Donaldson-Thomas invariants of quiver moduli.