KricheverNovikov Type Algebras

The book explores the generalization of certain classes of infinite dimensional Lie algebras, initially introduced by Krichever and Novikov, to accommodate applications in various fields such as Conformal Field Theory and integrable systems. It delves into the geometric origins of these algebras, emphasizing their manageability and relevance to moduli space problems and deformation theory. The work highlights the importance of extending the Virasoro algebra to higher genus Riemann surfaces, providing a comprehensive framework for these advanced mathematical concepts.