Geometric Formula for Prime form on a Sewn Riemann Surface

Alexander Zuevsky


We use the geometric representation for the Szegö kernel on genus g1+g2 Riemann surface obtained in the frames of the Yamada sewing construction of two Riemann surfaces of genus g1 and genus g2 in order to derive new formulas expressing prime forms. These formulas can be used in vertex operator algebra and conformal field theory computation as well as in algebraic geometry.

Relevant Publications in Generalized Lie Theory and Applications