Seminarium KMMF "Teoria Dwoistości"

Yang-Mills theory had a great effect on the development of differential and algebraic geometry, leading to the formulation of many invariants of the manifolds in low dimensions. This theory is special in dimension 2, where the partition function can be evaluated using combinatorial techniques. The result of this evaluation can be connected with the variety of representations of the fundamental group of the base manifold, computing its naturally defined symplectic volume.