Karl Winsor

collaborators

3 papers

math.DS2026

Isoperiodic forms and invariant subvarieties of connected strata

Karl Winsor

Strata of holomorphic $1$ -forms have an absolute period foliation given by varying $1$ -forms while keeping their integrals along closed loops fixed. In this paper, we classify the…

math.DS2026

Hecke Triangle Groups and Special Hyperbolic Elements

Karl Winsor

We study the action of the Hecke triangle groups $G_{q}$ on $I^»_{q} Q (I^»_{q}^{2}) \cup {\infty}$ with $I^»_{q} = 2 cos (I ¨ / q)$ . When $q = 18$ , we show the existence of infinitely…

math.DS2024

Dynamics of the absolute period foliation of a stratum of holomorphic 1-forms

Karl Winsor

Let $C$ be a connected component of a stratum of the moduli space of holomorphic $1$ -forms of genus $g$ . We show that the absolute period foliation of $C$ is er…