Abstract
We introduce a Teichmüller space for a Riemann surface withn distinguished points. Ifn=0 this is the ordinary Teichmüller space. Forn=1, in special cases, it represents the Teichmüller curve and the universal covering space of the Teichmüller curve. The corresponding modular groups and Riemann spaces are investigated. Some purely topological applications on homotopy of self-maps of surfaces are obtained.
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Research partially supported by NSF Grant GP-19572. The author is currently a Guggenheim Memorial Fellow.
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Kra, I. On new kinds of Teichmüller spaces. Israel J. Math. 16, 237–257 (1973). https://doi.org/10.1007/BF02756704
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DOI: https://doi.org/10.1007/BF02756704