Teichmüller spaces and representability of functors

Engber, Michael

doi:10.1090/S0002-9947-1975-0414939-4

Teichmüller spaces and representability of functors
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by Michael Engber PDF

Trans. Amer. Math. Soc. 201 (1975), 213-226 Request permission

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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Techniques de construction en géométrie analytique

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