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 language | English |
---|---|
Pages (from-to) | 1-41 |
Number of pages | 41 |
Journal | Algebraic and Geometric Topology |
Volume | 15 |
Issue number | 1 |
DOIs | |
State | Published - 23 Mar 2015 |
Keywords
- Fat graphs
- Moduli space
- Orbicell decompositions
- Ribbon graphs
- Riemann surfaces