Increasing trees and Kontsevich cycles

DOI10.2140/gt.2004.8.969zbMath1069.57008arXivmath/0303353OpenAlexW3099053362MaRDI QIDQ1882839

Kiyoshi Igusa, Michael Kleber

Publication date: 1 October 2004

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303353

zbMATH Keywords

hypergeometric seriesmapping class grouptautological classesgraph cohomologyRibbon graphsMiller-Morita-Mumford classesSterling numbers

Mathematics Subject Classification ID

Related Items (4)

Combinatorial Miller-Morita-Mumford classes and Witten cycles ⋮ Relations in the tautological ring derived from combinatorial classes and hyperelliptic fatgraphs ⋮ Torelli groups, extended Johnson homomorphisms, and new cycles on the moduli space of curves ⋮ Enumerative geometry of surfaces. Abstracts from the workshop held June 13--19, 2021 (hybrid meeting)

Cites Work

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• Moduli of graphs and automorphisms of free groups
• Intersection theory on the moduli space of curves and the matrix Airy function
• The homology of the mapping class group
• On a theorem of Kontsevich
• Combinatorial Miller-Morita-Mumford classes and Witten cycles
• Graph cohomology and Kontsevich cycles
• Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves
• Higher complex torsion and the framing principle
• Characteristic classes of surface bundles

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