Realnormalized differentials with a single order 2 pole
Abstract
A meromorphic differential on a Riemann surface is said to be realnormalized if all its periods are real. Realnormalized differentials on Riemann surfaces of given genus with prescribed orders of their poles form real orbifolds whose topology is closely related to that of moduli spaces of Riemann surfaces with marked points. Our goal is to develop tools to study this topology. We propose a combinatorial model for the realnormalized differentials with a single order 2 pole and use it to analyze the corresponding absolute period foliation.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 April 2021
 DOI:
 10.1007/s11005021013790
 arXiv:
 arXiv:2010.09358
 Bibcode:
 2021LMaPh.111...36K
 Keywords:

 14H10;
 37C86;
 Mathematics  Algebraic Geometry;
 Mathematics  Dynamical Systems
 EPrint:
 25 pages