Cobordism and the Nonfinite Homotopy Type of Some Diffeomorphism Groups

DOI10.2307/2044618zbMath0551.57017OpenAlexW4240714949MaRDI QIDQ3344860

Daniel S. Chess

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2044618

zbMATH Keywords

diffeomorphism groupscobordism class of manifolds fibred over a sphereidentity component of nonfinite homotopy typemod 2 Euler characteristic zero manifoldsoriented cobordism ringsecond homotopy group of connected H-spaces

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) (mathrm{O})- and (mathrm{SO})-cobordism (57R75) Homotopy groups of special spaces (55Q52) Differential topological aspects of diffeomorphisms (57R50)

Cites Work

• Determination of the cobordism ring
• Torsion in \(H\)-spaces
• Fibring within a cobordism class
• The non-finite homotopy type of some diffeomorphism groups

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