Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/55750
Type: Artigo de periódico
Title: Blakers-Massey elements and exotic diffeomorphisms of S-6 and S-14 via geodesics
Author: Duran, CE
Mendoza, A
Rigas, A
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
Blakers-Massey element
exotic spheres
Country: EUA
Editor: Amer Mathematical Soc
Rights: aberto
Identifier DOI: 10.1090/S0002-9947-04-03469-5
Date Issue: 2004
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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