Compactifications of moduli spaces and cellular decompositions

Zúñiga, Javier

doi:10.2140/agt.2015.15.1

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Compactifications of moduli spaces and cellular decompositions

Javier Zúñiga

Algebraic & Geometric Topology 15 (2015) 1–41

DOI: 10.2140/agt.2015.15.1

Abstract

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.

Keywords

moduli space, Riemann surfaces, ribbon graphs, fat graphs, orbicell decompositions

Mathematical Subject Classification 2010

Primary: 32G15, 57M15

Secondary: 30F30, 14H15

References

Publication

Received: 21 August 2007

Revised: 25 January 2013

Accepted: 26 June 2014

Published: 23 March 2015

Authors

Javier Zúñiga
Departamento de Economía Universidad del Pacífico Av Salaverry 2020 Jesús María Lima Peru

Volume 15, issue 1 (2015)