The Johnson homomorphism and the third rational cohomology group of the Torelli group

DOI10.1016/j.topol.2004.08.002zbMath1066.57021OpenAlexW2139336505MaRDI QIDQ1767721

Takuya Sakasai

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.topol.2004.08.002

zbMATH Keywords

mapping class grouprational homologyTorelli groupJohnson homomorphism

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Characteristic classes and numbers in differential topology (57R20) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items

The Birman-Craggs-Johnson homomorphism and abelian cycles in the Torelli group, Torelli group, Johnson kernel, and invariants of homology spheres, ABELIAN CYCLES IN THE HOMOLOGY OF THE TORELLI GROUP, ON THE COHOMOLOGY OF TORELLI GROUPS, Lagrangian mapping class groups from a group homological point of view, Genus 3 mapping class groups are not Kähler, The second Johnson homomorphism and the second rational cohomology of the Johnson kernel, The Johnson homomorphism and the second cohomology of \(\text{IA}_n\)., FI-modules and stability for representations of symmetric groups

Cites Work

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