Compactifications of moduli spaces and cellular decompositions

Javier Zúñiga

doi:10.2140/agt.2015.15.1

Compactifications of moduli spaces and cellular decompositions

Javier Zúñiga

Department of Economics

Research output: Contribution to journal › Article in a journal › peer-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 language	English
Pages (from-to)	1-41
Number of pages	41
Journal	Algebraic and Geometric Topology
Volume	15
Issue number	1
DOIs	https://doi.org/10.2140/agt.2015.15.1
State	Published - 23 Mar 2015

Keywords

Fat graphs
Moduli space
Orbicell decompositions
Ribbon graphs
Riemann surfaces

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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.",

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AB - 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.

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KW - Moduli space

KW - Orbicell decompositions

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KW - Orbicell decompositions

KW - Ribbon graphs

KW - Riemann surfaces

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Compactifications of moduli spaces and cellular decompositions

Abstract

Keywords

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