Geometric Applications of Homotopy Theory I

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.