ABELIAN CYCLES IN THE HOMOLOGY OF THE TORELLI GROUP

DOI10.1017/s1474748021000505zbMath1528.55011arXiv2010.06910MaRDI QIDQ6112075

Erik Lindell

Publication date: 7 July 2023

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.06910

zbMATH Keywords

mapping class groupTorelli groupJohnson homomorphism

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Unnamed Item
• Unnamed Item
• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• The Torelli groups for genus 2 and 3 surfaces
• The extension of Johnson's homomorphism from the Torelli group to the mapping class group
• An abelian quotient of the mapping class group \(\mathfrak S\)
• The Johnson homomorphism and the third rational cohomology group of the Torelli group
• FI-modules and stability for representations of symmetric groups
• Parameterized Abel-Jacobi maps and abelian cycles in the Torelli group
• A survey of the Torelli group
• Infinitesimal presentations of the Torelli groups
• ON THE COHOMOLOGY OF TORELLI GROUPS
• The primary approximation to the cohomology of the moduli space of curves and cocycles for the stable characteristic classes

This page was built for publication: ABELIAN CYCLES IN THE HOMOLOGY OF THE TORELLI GROUP