The Meyer function on the handlebody group

DOI10.3906/mat-1911-67zbMath1504.57026arXiv1904.00203OpenAlexW3101280168MaRDI QIDQ5099739

Yusuke Kuno, Masatoshi Sato

Publication date: 26 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00203

zbMATH Keywords

mapping class groupshandlebody groupsignature cocycle

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Other groups related to topology or analysis (20F38) Fiber bundles in algebraic topology (55R10) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) General topology of 3-manifolds (57K30)

Cites Work

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• The second homology group of the mapping class group of an orientable surface
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• First symplectic Chern class and Maslov indices
• The logarithm of the Dedekind \(\eta\)-function
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• Meyer's signature cocycle and hyperelliptic fibrations
• The third homology group of the moduli space of curves
• A twisted first homology group of the handlebody mapping class group
• Die Signatur von Flächenbündeln
• Maslov index, lagrangians, mapping class groups and TQFT
• Canonical 2-forms on the moduli space of Riemann surfaces
• Knots, Groups and 3-Manifolds (AM-84)
• The asymptotic behavior of the minimal pseudo-ANOSOV dilatations in the hyperelliptic handlebody groups*
• Meyer functions and the signature of fibered 4-manifolds

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