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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Teichmüller spaces and representability of functors


Author: Michael Engber
Journal: Trans. Amer. Math. Soc. 201 (1975), 213-226
MSC: Primary 32G15; Secondary 14H15, 30A46
MathSciNet review: 0414939
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Abstract: The Teichmëller space of compact Riemann surfaces with punctures is exhibited as the object representing a certain functor. This extends the work of Grothendieck, who treated the unpunctured case. The relationship between the two cases is exploited to obtain specific results on the connection between the two Teichmüller spaces.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1975-0414939-4
PII: S 0002-9947(1975)0414939-4
Keywords: Teichmüller space, signature, Riemann surface, representable functor
Article copyright: © Copyright 1975 American Mathematical Society