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Almost-isometry between Teichmüller metric and length-spectra metric on moduli space
Teichm¨uller metric length-spectra metric almost isometry
2011/1/19
We prove an analogue of Farb-Masur’s theorem that the lengthspectra metric on moduli space is “almost isometric” to a simple model V(S) which is induced by the cone metric over the complex of curves. ...
Enumerative and asymptotic analysis of a moduli space
Enumerative asymptotic analysis moduli space
2010/12/13
We study exact and asymptotic enumerative aspects of the Hilbert series of the cohomology
ring of the moduli space of stable pointed curves of genus zero. This manifold is related to the WDVV (Witten...
A note on the unirationality of a moduli space of double covers
Moduli spaces curves algebraic groups Chow groups
2010/12/10
In this note we look at the moduli space R3,2 of double covers of genus three curves, branched along 4 distinct points. This space was studied by Bardelli, Ciliberto and Verra in [BCV].