Symplectic Structures in Geometry, Algebra and Dynamics
Collaborative Research Centre TRR 191
 
A1, A2, A3, A5, A6, A7, A8
B1, B2, B3, B4, B5, B6, B7, B8
C1, C2, C3, C4, C5, C6, C7
2017-2020
Topology & Equivariant Theories
A1: Topological aspects of symplectic manifolds with symmetries
Reineke, Sabatini
Abstract:
In the proposed project we will study the topological invariants and diffeomorphism type of compact symplectic manifolds of dimension 6 with a Hamiltonian action of a torus of dimension 2, which goes in the direction of proving a conjecture posed by Fine and Panov, and we will study the Mukai inequality for certain categories of manifolds, using new techniques developed during the first funding period. Moreover, we will continue the development of a GKM type theory for moduli spaces of quiver representations, with applications to Donaldson-Thomas and Gromov-Witten invariants.
Group:
 
Prof. Markus Reineke (PI)
mail: markus.reineke at rub.de
phone: 0234/ 32 28241
room: IB 2/129
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
Dr. Maria Bertozzi (pd)
mail: Maria.Bertozzi at ruhr-uni-bochum.de
phone: 0234 / 32 23238
room: IB 2/123
Faculty of Mathematics
Ruhr-University Bochum
Impressum Institution of DFG, MI University of Cologne, FM Ruhr-University Bochum and MI University of Heidelberg