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|Type:||Artigo de periódico|
|Title:||Blakers-Massey elements and exotic diffeomorphisms of S-6 and S-14 via geodesics|
|Abstract:||We use the geometry of the geodesics of a certain left-invariant metric on the Lie group Sp(2) to find explicit related formulas for two topological objects: the Blakers-Massey element (a generator of pi(6)(S-3)) and an exotic (i.e. not isotopic to the identity) diffeomorphism of S-6(C.E. Duran, 2001). These formulas depend on two quaternions and their conjugates and we produce their extensions to the octonions through formulas for a generator of pi(14)(S-7) and exotic diffeomorphisms of S-14, thus giving explicit gluing maps for half of the 15-dimensional exotic spheres expressed as the union of two 15-disks.|
|Subject:||geometry of geodesics|
|Editor:||Amer Mathematical Soc|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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