Abstract
We give a construction of harmonic differentials that uniquely represent cohomology classes of a non-compact Riemann surface of finite topology. We construct these differentials by cutting off all cusps along horocycles and solving a suitable boundary value problem on the truncated surface. We then pass to the limit as the horocycle in each cusp recedes to infinity.
Original language | English |
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Title of host publication | Number Theory, Analysis and Geometry |
Subtitle of host publication | In Memory of Serge Lang |
Pages | 161-168 |
Number of pages | 8 |
Volume | 9781461412601 |
ISBN (Electronic) | 9781461412601 |
DOIs | |
State | Published - Mar 1 2012 |
Bibliographical note
Publisher Copyright:© Springer Science+Business Media, LLC 2012. All rights reserved.
Keywords
- harmonic differentials
- non-compact Riemann surfaces
ASJC Scopus subject areas
- General Mathematics