Semistable Graph Homology

Javier Zúñiga

Semistable Graph Homology

Authors

Javier Zúñiga University of the Pacific , Universidad del Pacífico , Pacific University , University of the Pacific , University of the Pacific

Keywords:

Ribbon graphs, graph homology, moduli of Riemann surfaces, compactification and cellular decomposition of moduli spaces

Abstract

Using the orbicell decomposition of the Deligne-Mumford compactification of the moduli space of Riemann surfaces studied before by the author, a chain complex based on semistable ribbon graphs is constructed which is an extension of the Konsevich’s graph homology.