Harmonic representatives for cuspidal cohomology classes

Józef Dodziuk (), Jeffrey McGowan () and Peter Perry ()
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Józef Dodziuk: Grad School and University Center (CUNY), PHD Program in Mathematics
Jeffrey McGowan: Central Connecticut State University, Department of Mathematical Sciences
Peter Perry: University of Kentucky, Department of Mathematics

A chapter in Number Theory, Analysis and Geometry, 2012, pp 161-168 from Springer

Abstract: 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.

Keywords: harmonic differentials; non-compact Riemann surfaces (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-1260-1_8

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DOI: 10.1007/978-1-4614-1260-1_8

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