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.