On the Jacobi group and the mapping class group of $S^3\times S^3$

DOI10.1090/S0002-9947-02-03051-9zbMath1015.57020arXivmath/0107005OpenAlexW1869860522MaRDI QIDQ3151276

Nikolai A. Krylov

Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0107005

zbMATH Keywords

presentationJacobi groupmapping class group of \(S^3\times S^3\)

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Cohomology of groups (20J06) Other groups related to topology or analysis (20F38) Isotopy in differential topology (57R52) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Differential topological aspects of diffeomorphisms (57R50)

Related Items (6)

The mapping class group of connect sums of 𝑆²×𝑆¹ ⋮ Abelian quotients of mapping class groups of highly connected manifolds ⋮ Mapping class groups of highly connected \((4k+2)\)-manifolds ⋮ On the mapping class groups of \(\#_r(S^p \times S^p)\) for \(p = 3, 7\) ⋮ Kernel of the variation operator and periodicity of open books ⋮ Generalized global symmetries of \(T[M\) theories. I.]

Cites Work

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• Word Maps, Isotopy and Entropy
• Differentiable Structures on Spheres
• A Short Note on the Full Jacobi Group
• Diffeomorphisms of 1-Connected Manifolds
• DIFFEOMORPHISM GROUPS OF S^p × S^q EXOTIC SPHERES
• Cohomology of Group Extensions
• Elements of the representation theory of the Jacobi group

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