Advances in Theoretical and Mathematical Physics

Volume 22 (2018)

Number 7

Geometric kernel formula relating prime forms

Pages: 1823 – 1829



Alexander Zuevsky (Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic)


We use geometric representation for the Szegő kernel on genus $g + 1$ and genus $g$ Riemann surfaces in order to derive formulas relating corresponding prime forms. The result will be useful for computation of fermionic vertex algebra cohomology of smooth manifolds foliations.

Research of the author was supported by the GACR project 18-00496S and RVO: 67985840.

Published 18 June 2019