A note on isolated points in the branch locus of the moduli space of compact Riemann surfaces.
Bujalance, Emilio, Costa, Antonio F., Izquierdo, Milagros (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Bujalance, Emilio, Costa, Antonio F., Izquierdo, Milagros (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Abel G. Wolman (1996)
Journal für die reine und angewandte Mathematik
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Costa, A.F., Martínez, E. (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Tatsuru Takakura (1996)
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Lisa C. Jeffrey (1994)
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Wolfgang K. Seiler (1995)
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Krzysztof Dabrowski (1982)
Mathematische Annalen
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Oscar Randal-Williams (2016)
Journal of the European Mathematical Society
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We describe partial semi-simplicial resolutions of moduli spaces of surfaces with tangential structure. This allows us to prove a homological stability theorem for these moduli spaces, which often improves the known stability ranges and gives explicit stability ranges in many new cases. In each of these cases the stable homology can be identified using the methods of Galatius, Madsen, Tillmann and Weiss.
Georg Schumacher (1986)
Mathematische Annalen
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Gabriele Mondello (2008)
Journal of the European Mathematical Society
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Using a result of Harer, we prove certain upper bounds for the homotopical/cohomological dimension of the moduli spaces of Riemann surfaces of compact type, of Riemann surfaces with rational tails and of Riemann surfaces with at most k rational components. These bounds would follow from conjectures of Looijenga and Roth–Vakil.
R. Kusner, R. Mazzeo, D. Pollack (1996)
Geometric and functional analysis
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Fabio Bardelli, A. Del Centina (1985)
Mathematische Annalen
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Lipman Bers (1975)
Mathematica Scandinavica
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Rick Miranda (1981)
Mathematische Annalen
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