Giorgi Khimshiashvili
Topology of generalized Sklyanin algebras
The topology of Casimir levels of quadratic Poisson algebras will be discussed. In particular, the Euler characteristics of Casimir levels of the four-dimensional generalized Sklyanin algebras will be computed and the arising bifurcations of the Casimir levels will be described. Our results give an extension of the analogous results for the classical Sklyanin algebras and yield a correction of an error in the original paper of E.Sklyanin.
