On Some Deformations of Riemann Surfaces. I

Authors

  • Ryszard L. Rubinsztein

DOI:

https://doi.org/10.7146/math.scand.a-14288

Abstract

We define a family of infinitesimal deformations of compact Riemann surfaces of genus $g > 2$ which generalizes the Fenchel-Nielsen deformations. Those new deformations are associated to smooth vector fields on the circle. We compute a representation of the deformations in terms of Poincaré series and determine the corresponding Eichler cohomology classes.

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Published

2000-06-01

Issue

Vol. 86 No. 2 (2000)

Section

Articles

How to Cite

[1]
R. L. Rubinsztein, “On Some Deformations of Riemann Surfaces. I”, Math. Scand., vol. 86, no. 2, pp. 179–205, Jun. 2000, doi: 10.7146/math.scand.a-14288.