Geometric Applications of Homotopy Theory I

Geometric Applications of Homotopy Theory I Proceedings, Evanston, March 21–26, 1977 / [electronic resource] : edited by M. G. Barratt, M. E. Mahowald. - X, 462 p. online resource. - Lecture Notes in Mathematics, 657 0075-8434 ; . - Lecture Notes in Mathematics, 657 .

Fixed point indices and left invariant framings -- Detecting framed manifolds in the 8 and 16 stems -- Algebraic k-theory with coefficients /p -- Torsion with rings for orders and finite groups -- Computations of gelfand-fuks cohomology, the cohomology of function spaces, and the cohomology of configuration spaces -- Torsion free mod p H-spaces -- Representing framed bordism classes by manifolds embedded in low codimension -- The transfer and characteristic classes -- The quillen-grothendieck construction and extensions of pairings -- Endomorphisms of the cohomology ring of finite grassmann manifolds -- Immersing manifolds and 2-equivalence -- Mod 2 homotopy-associative H-spaces -- Lifting actions in fibrations -- Partial transfers -- Algebraic-topological problems in approximation theory -- H-spaces of a given rank -- Two examples on finite H-spaces -- Analytic equivariant K-homology -- Smooth spherical space forms -- Which Group Structures on S3 have a maximal torus? -- G surgery in the homotopy category and K0(Z(G)) -- Finite nilpotent group actions on finite complexes -- Constructions of aspherical manifolds -- Embeddings and immersions of manifolds -- Free homotopy theory and localization.

9783540358091

10.1007/BFb0069224 doi


Topology.
Geometry.
Topology.
Geometry.

QA611-614.97

514
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