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Type: Artigo de periódico
Title: Blakers-massey Elements And Exotic Diffeomorphisms Of S6 And S14 Via Geodesics
Author: Duran C.E.
Mendoza A.
Rigas A.
Abstract: We use the geometry of the geodesies 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 π6(S 3)) and an exotic (i.e. not isotopic to the identity) diffeomorphism of S6 (C. E. Durán, 2001). These formulas depend on two quaternions and their conjugates and we produce their extensions to the octonions through formulas for a generator of π144(S7) and exotic diffeomorphisms of S14, thus giving explicit gluing maps for half of the 15-dimensional exotic spheres expressed as the union of two 15-disks.
Rights: fechado
Identifier DOI: 10.1090/S0002-9947-04-03469-5
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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