Compactifications of moduli spaces and cellular decompositions

Javier Zúñiga

Research output: Contribution to journalArticle in a journalpeer-review

2 Scopus citations

Abstract

All rights reserved. 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.
Original languageEnglish
Pages (from-to)1-41
Number of pages41
JournalAlgebraic and Geometric Topology
Volume15
Issue number1
DOIs
StatePublished - 23 Mar 2015

Keywords

  • Fat graphs
  • Moduli space
  • Orbicell decompositions
  • Ribbon graphs
  • Riemann surfaces

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