A note on Penner's cocycle on the fatgraph complex

DOI10.1016/j.topol.2022.108063zbMath1493.57008arXiv2005.03414OpenAlexW3022840554MaRDI QIDQ2131799

Yusuke Kuno, Kae Takezawa

Publication date: 27 April 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03414

zbMATH Keywords

symplectic formmapping class groupTeichmüllertrivalent fatgraph spine

Mathematics Subject Classification ID

2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Unnamed Item
• Marked fatgraph complexes and surface automorphisms
• Canonical extensions of Morita homomorphisms to the Ptolemy groupoid
• Decorated Teichmüller theory
• Canonical extensions of the Johnson homomorphisms to the Torelli groupoid
• Groupoid extensions of mapping class representations for bordered surfaces
• Casson's invariant for homology 3-spheres and characteristic classes of surface bundles. I
• Finite type invariants and fatgraphs
• A homology-valued invariant for trivalent fatgraph spines
• Torelli groups, extended Johnson homomorphisms, and new cycles on the moduli space of curves

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