Krichever-Novikov Vertex Algebras on Compact Riemann Surfaces

Abstract

We give a notation of Krichever-Novikov vertex algebras on compact Riemann surfaces which is a bit weaker, but quite similar to vertex algebras. As example, we construct Krichever-Novikov vertex algebras of generalized Heisenberg algebras on arbitrary compact Riemann surfaces, which are reduced to be Heisenberg vertex algebra when restricted on Riemann spheres.

References in corpus (2)

• Vertex Algebras and Algebraic Curves
• Towards Vertex Algebras of Krichever-Novikov Type, Part I