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math.GT2026
Infinite-type Schottky groups and group actions on infinite-type surfaces
Rubén A. Hidalgo
We introduce a certain class of purely loxodromic free Kleinian groups, called infinite-type Schottky groups, which are defined by a suitable collection of simple loops on the Riem…
math.GT2025
Generalized Fermat Riemann surfaces of infinite type
Ruben A. Hidalgo
The Loch Ness monster (LNM) is, up to homeomorphisms, the unique orientable, connected, Hausdorff, second countable surface of infinite genus and with exactly one end. For each int…
math.GT2024
The structure of MDC-Schottky extension groups
Rubén A. Hidalgo
Let be a complete hyperbolic -manifold whose conformal boundary is a closed Riemann surface of genus . If , then let be th…