Geometric Applications of Homotopy Theory I

Inhaltsverzeichnis

• 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.