11 research outputs found
Inertia Groups and Smooth Structures on Quaternionic Projective Spaces
For a quarternionic projective space, the homotopy inertia group and the
concordance inertia group are isomorphic, but the inertia group might be
different. We show that the concordance inertia group is trivial in dimension
20, but there are many examples in high dimensions where the concordance
inertia group is non-trivial. We extend these to computations of concordance
classes of smooth structures. These have applications to -sphere actions on
homotopy spheres and tangential homotopy structures.Comment: 13 page
Inertia Groups and Smooth Structures on Quaternionic Projective Spaces
For a quarternionic projective space, the homotopy inertia group and the
concordance inertia group are isomorphic, but the inertia group might be
different. We show that the concordance inertia group is trivial in dimension
20, but there are many examples in high dimensions where the concordance
inertia group is non-trivial. We extend these to computations of concordance
classes of smooth structures. These have applications to -sphere actions on
homotopy spheres and tangential homotopy structures.Comment: 13 page