Lagrangian traces for the Johnson filtration of the handlebody group

DOI10.1016/j.topol.2022.108337OpenAlexW4310291207MaRDI QIDQ2112197

Quentin Faes

Publication date: 18 January 2023

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

Full work available at URL: https://arxiv.org/abs/2206.10687

zbMATH Keywords

mapping class groupsJohnson homomorphismshandlebody grouptrace-like operators

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• An abelian quotient of the mapping class group \(\mathfrak S\)
• Abelian quotients of subgroups of the mapping class group of surfaces
• Casson's invariant for homology 3-spheres and characteristic classes of surface bundles. I
• A small normal generating set for the handlebody subgroup of the Torelli group
• A survey of Magnus representations for mapping class groups and homology cobordisms of surfaces
• The Lagrangian filtration of the mapping class group and finite-type invariants of homology spheres
• Integral homology $3$-spheres and the Johnson filtration
• Homeomorphisms of a Surface which Act Trivially on Homology
• Triviality of the 𝐽₄-equivalence among homology 3-spheres
• The Rohlin invariant and ℤ/2-valued invariants of homology spheres
• Morita’s trace maps on the group of homology cobordisms

This page was built for publication: Lagrangian traces for the Johnson filtration of the handlebody group