Signature cocycles on the mapping class group and symplectic groups
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Publication:2184783
DOI10.1016/j.jpaa.2020.106400OpenAlexW3017744927MaRDI QIDQ2184783
Carmen Rovi, Caterina Campagnolo, Andrew Ranicki, David John Benson
Publication date: 29 May 2020
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.09357
Cohomology of groups (20J06) Representations of finite groups of Lie type (20C33) Fiber bundles in algebraic topology (55R10)
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Cites Work
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- Abelian quotients of mapping class groups of highly connected manifolds
- Bounded characteristic classes and flat bundles
- Lagrangian mapping class groups from a group homological point of view
- A geometric criterion for the boundedness of characteristic classes
- On the homology of Lie groups made discrete
- The signature of a fibre bundle is multiplicative mod 4
- The Schur multiplicator of SL(2,Z/mZ) and the congruence subgroup property
- Eine Präsentation der symplektischen Gruppe Sp(4,Z) mit 2 Erzeugenden und 8 definierenden Relationen
- A simple presentation of the Siegel modular groups
- Euler and Maslov cocycles
- Dedekind sums, \(\mu\)-invariants and the signature cocycle
- Cohomology of symplectic groups and Meyer's signature theorem
- Theta functions and a presentation of \(2^{1 +(2 g + 1)} \mathsf{Sp}(2 g, 2)\)
- The nonmultiplicativity of the signature modulo 8 of a fibre bundle is an Arf-Kervaire invariant
- Automorphisms of extra special groups and nonvanishing degree 2 cohomology
- Maslov index and Novikov-Wall theorem
- Non-additivity of the signature
- Die Signatur von Flächenbündeln
- Das Glück, Mathematiker zu sein
- Maslov index, lagrangians, mapping class groups and TQFT
- Measurable Kac cohomology for bicrossed products
- Borel Structure in Groups and Their Duals
- On the Index of a Fibered Manifold
- Foliations and groups of diffeomorphisms
- Group Extensions and Cohomology for Locally Compact Groups. III
- Second homology of lie groups made discrete
- The second homology groups of mapping class groups of orientable surfaces
- Algebraic Cohomology of Topological Groups
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