Johnson Homomorphisms and Cohomology of Handlebody Torelli Groups

A 1.2 MB PDF document from figshare, last updated May 12, 2026, authored by ETD Depositor. It introduces two Torelli subgroups of the handlebody group and describes their abelian quotients using symplectic representation and Johnson homomorphisms. The work analyzes cup products in the first rational cohomology groups of these subgroups.

Use Cases

• Studying the structure of handlebody Torelli groups based on their action on homology.
• Analyzing abelian quotients of topological groups based on Johnson homomorphisms.
• Investigating cup product structures in rational cohomology groups derived from group representations.
• Applying representation theory of the special linear group to problems in geometric topology.

Strengths

• File size is precisely 1.2 MB.
• License is Public Domain Mark 1.0, allowing for unrestricted reuse.
• Last update timestamp is provided: 2026-05-12 14:55:17.

Limitations

• Description metadata is limited; actual data quality requires manual inspection after download.
• Row count is unknown, which may limit suitability assessment.
• Column-level documentation is absent; field semantics must be inferred after download.

Provenance

Source

figshare, author ETD Depositor.

Collection Method

Likely an academic thesis or research paper.

Freshness

Last updated 2026-05-12 14:55:17; freshness should be verified.