Symplectic Structures in Geometry, Algebra and Dynamics
Collaborative Research Centre TRR 191
 
A1, A2, A3, A5, A6, A7
B1, B2, B3, B4, B5, B6, B7
C1, C2, C3, C4, C5
Topology & Equivariant Theories
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.
Group:
 
Prof. Peter Heinzner (PI)
mail: peter.heinzner at rub.de
phone: 0234 / 322 3325
room: 47 (Container N-Süd OG)
Faculty of Mathematics
Ruhr-University Bochum
Prof. Markus Reineke (PI)
mail: markus.reineke at rub.de
phone: 0234/ 322 3243
room: NA 2/73
Faculty of Mathematics
Ruhr-University Bochum
Prof. Silvia Sabatini (PI)
mail: sabatini at math.uni-koeln.de
phone: 0221 / 470 2890
room: 8
Mathematical Institute
University of Cologne
Impressum Institution of DFG, MI University of Cologne and FM Ruhr-University Bochum