Seminarium KMMF "Teoria Dwoistości"

Kontsevich has given an elegant theory that links the homology of symplectic vector fields with invariants in low-dimension topology: a complex of graphs. We will link this theorem with Loday-Quillen-Tsygan theorem which computes the homology of the Lie matrices in terms of cyclic homology. Then, we will generalise Kontsevich theorem to Leibniz homology by constructing a new type of graph complex.