Advances in Theoretical and Mathematical Physics

Volume 22 (2018)

Number 7

Geometric kernel formula relating prime forms

Pages: 1823 – 1829

DOI: https://dx.doi.org/10.4310/ATMP.2018.v22.n7.a3

Author

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

Abstract

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.

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

Published 18 June 2019