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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 235, Pages 98–109 (Mi tm237)  
This article is cited in 1 scientific paper (total in 1 paper)

Holomorphic Structure on the Space of Riemann Surfaces with Marked Boundary

S. M. Ivashkovichab, V. V. Shevchishinbc

a University of Sciences and Technologies
b Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine
c Ruhr-Universität Bochum
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Abstract: In this paper we construct a natural complex structure on the moduli space of Riemann surfaces with boundary consisting of a finite number of punctures and circles and with marked points on boundary circles. We also give a description of the tangent space to the moduli space in terms of holomorphic objects associated to the corresponding Riemann surface.
Received in December 2000
Bibliographic databases:
UDC: 512.77
Language: English
Citation: S. M. Ivashkovich, V. V. Shevchishin, “Holomorphic Structure on the Space of Riemann Surfaces with Marked Boundary”, Analytic and geometric issues of complex analysis, Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin, Trudy Mat. Inst. Steklova, 235, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 98–109; Proc. Steklov Inst. Math., 235 (2001), 91–102
Citation in format AMSBIB
\Bibitem{IvaShe01}
\by S.~M.~Ivashkovich, V.~V.~Shevchishin
\paper Holomorphic Structure on the Space of Riemann Surfaces with Marked Boundary
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin
\serial Trudy Mat. Inst. Steklova
\yr 2001
\vol 235
\pages 98--109
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm237}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1886576}
\zmath{https://zbmath.org/?q=an:1004.32006}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2001
\vol 235
\pages 91--102
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    • This publication is cited in the following 1 articles:
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