Compactifications of Moduli Spaces and Cellular Decompositions

Details Compactifications of Moduli Spaces and Cellular Decompositions Compactifications of Moduli Spaces and Cellular Decompositions

2007-08-20

arxiv.org/abs/0708.2441v2

Mathematics

Geometric Topology

31 pages, 21 figures. Added references, corrected typos, and improved content

Scientific paper

This paper studies compactifications of moduli spaces involving closed
Riemann surfaces. The first main result identifies the homeomorphism types of
these compactifications. The second main result introduces cellular
decompositions on these spaces using semistable ribbon graphs extending the
earlier work of Looijenga.

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