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The Meyer function on the handlebody group

Year: 2020

Type: article

Abstract: We give an explicit formula for the signature of handlebody bundles over the circle interms of the homological monodromy. This gives a cobounding function of Meyer's signature cocycle on the mapping class group of a 3-dimensional handlebody, i.e. the handlebody group. As an application, we give a topological interpretation for the generator of the first cohomology group of the hyperelliptic handlebody group.

Source: TURKISH JOURNAL OF MATHEMATICS

DOI: 10.3906/mat-1911-67

Authors: Yusuke KUNO, Masatosh SATO

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

Awards: Study on 3-manifolds and cohomology of subgroups of the mapping class group of a surface, A study on the Johnson homomorphism for the mapping class group: an approach using one-dimensional objects on surfaces, Various evolutions of Teichmuller theory

OpenAlex ID: W2933051438

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