Presentation
Topological and H^q Equivalence of Prime Cyclic p-gonal Actions on Riemann Surfaces
AMS Spring Western Sectional Meeting - Automorphisms of Riemann Surfaces and Related Topics
(2018)
Abstract
Two Riemann surfaces S1and 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 Hq(S1) and Hq(S2). We present the differences between topological equivalence and Hq equivalence of prime cyclic actions, where S1/G and S2/G have genus zero.
Keywords
- Riemann surface,
- topological equivalence,
- holomorphic q-differential
Disciplines
Publication Date
April 16, 2018
Location
Portland State University, Portland OR
Citation Information
Sean A Broughton. "Topological and H^q Equivalence of Prime Cyclic p-gonal Actions on Riemann Surfaces" AMS Spring Western Sectional Meeting - Automorphisms of Riemann Surfaces and Related Topics (2018) Available at: http://works.bepress.com/allen_broughton/50/
Creative Commons License
This work is licensed under a Creative Commons CC_BY-NC-SA International License.