On the rational cohomology of spin hyperelliptic mapping class groups

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Independent rational cohomology dimensions identified in mapping class groups, reinforcing algebraic foundations.
Key metrics include dimension calculations across all degrees for hyperelliptic and braid groups.
Analysis of spin hyperelliptic mapping class groups within rational cohomology framework reveals structural insights.
Findings enhance understanding of invariant parts in algebraic topology relevant to pure braid group.

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Observational analysis shows independent rational cohomology dimensions in mapping class groups, indicating significant algebraic structures.

Gefei Wang (2025) studied this question.

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Observational analysis shows independent rational cohomology dimensions in mapping class groups, indicating significant algebraic structures.