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Currently displaying 1 – 4 of 4

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On Handlebody Structures for Hypersurfaces in C3and CP3.

John Harer — 1978

Mathematische Annalen

The Second Homology Group of the Mapping Class Group of an Orientable Surface.

John Harer — 1983

Inventiones mathematicae

Euler characteristics of moduli spaces of curves

Gilberto Bini; John Harer — 2011

Journal of the European Mathematical Society

Let $M_{g}^{n}$ be the moduli space of $n$ -pointed Riemann surfaces of genus $g$ . Denote by $\bar{M_{g}^{n}}$ the Deligne-Mumford compactification of $M_{g}^{n}$ . In the present paper, we calculate the orbifold and the ordinary Euler characteristic of $\bar{M_{g}^{n}}$ for any $g$ and $n$ such that $n > 2 - 2 g$ .

Stability of the homology of the moduli spaces of Riemann surfaces with spin structure.

John L. Harer — 1990

Mathematische Annalen

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