Group actions on manifolds / / Reinhard Schultz, editor

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1985]; ©1985
• Descrizione fisica: 1 online resource (586 p.)
• Disciplina: 514/.3
• Soggetto topico: Manifolds (Mathematics); Group actions (Mathematics)
• Persona (resp. second.): SchultzReinhard <1943->
• Note generali: "Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Group Actions on Manifolds, University of Colorado, Boulder, June 26-July 1, 1983"--Title page verso.
• Nota di bibliografia: Includes bibliographies.
• Nota di contenuto: Contents -- Introduction -- Summary of Program -- List of Participants -- The work and influence of Deane Montgomery -- Bibliography of Deane Montgomery -- Homotopy-theoretic techniques and applications: -- Homotopy invariants and G-manifolds: A look at the past fifteen years -- Splitting semifree group actions on homotopy spheres into solid tori -- Equivariant Whitehead torsion and actions of compact lie groups -- Homological methods and machinery: -- A family of unusual torus group actions -- For G = s1 there is no G-Chern character -- Equivariant frameability of homotopy linear s1 actions on spheres -- Action maps on equivariant function spaces and applications to PL bordism -- Borsuk-Ulam theorems for prime periodic transformation groups -- On equivariant maps of Stiefel manifolds -- Applications of surgery and geometric topology: -- Representations at fixed points -- Transformation groups and fixed point data -- Lectures on transformation groups and Smith equivalence -- Transformation groups and exotic spheres -- Constructions of group actions: A survey of recent developments -- Concordance of group actions on spheres -- Induction in equivariant K-theory and s-Smith equivalence of representations -- Smith equivalent representations of generalized quaternion groups -- s-Smith equivalent representations for finite abelian groups -- Isotropy representations of nonabelian finite group actions -- Low-dimensional topology and transformation groups: -- Transformation groups and low-dimensional manifolds -- Homogeneous spaces and seifert fiberings: -- The role of Seifert fiber spaces in transformation groups -- Realizing group automorphisms -- Cohomology of a Siegel modular variety of degree two -- Transformation groups and differential geometry: -- Newman's Theorem and the Hilbert-Smith Conjecture -- Geometry, representation theory, and the Yang-Mills functional -- Problems: -- Problems submitted to the A.M.S. Summer Research Conference on Group Actions -- Introduction -- 1. Realization questions -- 2. Inductive existence and classification questions -- 3. Absolute existence questions -- 4. General structure questions -- 5. Questions involving equivariant algebraic topology -- 6. Questions on group actions and low-dimensional topology -- 7. Problems concerning smooth actions on spheres -- 8. Problems concerning actions on spherelike spaces -- 9. Group actions and topological singularities -- 10. Topological similarity of representations -- 11. Transformation groups and geometry.
• Titolo autorizzato: Group actions on manifolds
• ISBN: 0-8218-7621-X; 0-8218-5389-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910827449503321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society). ; 36 . 0271-4132