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Inertia Groups and Smooth Structures on Quaternionic Projective Spaces - MaRDI portal

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Inertia Groups and Smooth Structures on Quaternionic Projective Spaces

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Publication:6290368

DOI10.1515/FORUM-2020-0125arXiv1708.06582MaRDI QIDQ6290368

Author name not available (Why is that?)

Publication date: 22 August 2017

Abstract: This paper deals with certain results on the number of smooth structures on quaternionic projective spaces, obtained through the computation of inertia group and its analogues, which in turn are computed using techniques from stable homotopy theory. 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 3-sphere actions on homotopy spheres and tangential homotopy structures.





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