Topological and Hq Equivalence of Prime Cyclic p-gonal Actions on Riemann Surfaces (Corrected)

Authors

Sean A. Broughton, Rose-Hulman Institute of TechnologyFollow

Document Type

Article

Publication Date

7-25-2016

Abstract

Two Riemann surfaces S₁ and S₂ with conformal G-actions have topologically equivalent actions if there is a homeomorphism h : S₁ -> S₂ which intertwines the actions. A weaker equivalence may be defined by comparing the representations of G on the spaces of holomorphic q-differentials H^q(S₁) and H^q(S₂). In this note we study the differences between topological equivalence and H^q equivalence of prime cyclic actions, where S₁/G and S₂/G have genus zero.

Comments

MSTR 16-04, Corrected version as of Sep 24, 2020

Recommended Citation

Broughton, Sean A., "Topological and Hq Equivalence of Prime Cyclic p-gonal Actions on Riemann Surfaces (Corrected)" (2016). Mathematical Sciences Technical Reports (MSTR). 155.
https://scholar.rose-hulman.edu/math_mstr/155