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Abstract
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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 orbicell decompositions on
these spaces using semistable ribbon graphs extending the earlier work of
Looijenga.
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Keywords
moduli space, Riemann surfaces, ribbon graphs, fat graphs,
orbicell decompositions
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Mathematical Subject Classification 2010
Primary: 32G15, 57M15
Secondary: 30F30, 14H15
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Publication
Received: 21 August 2007
Revised: 25 January 2013
Accepted: 26 June 2014
Published: 23 March 2015
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