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Krichever-Novikov Vertex Algebras on Compact Riemann Surfaces
Published 20 Sep 2015 in math.QA | (1509.06006v1)
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.
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