H-spaces of rank two and non-cancellation phenomena

Hilton, Peter; Mislin, Guido; Roitberg, Joseph

doi:10.1007/bf01425716

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Non-cancellation Phenomena In Group Actions1

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Cited by 10 publications

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“…The usual form of non-cancellation phenomena, e.g. [17,18,19] is expressed by manifolds M 1 , M 2 , N where M 1 and M 2 are not homotopy equivalent but M 1 × N is diffeomorphic to M 2 × N (see also [3]).…”

Section: Non-cancellation Phenomena In Group Actionsmentioning

confidence: 99%

Wiedersehen metrics and exotic involutions of Euclidean spheres

Abresch

Durán

Püttmann

et al. 2007

Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)

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Abstract. We provide explicit, simple, geometric formulas for free involutions ρ of Euclidean spheres that are not conjugate to the antipodal involution. Therefore the quotient S n /ρ is a manifold that is homotopically equivalent but not diffeomorphic to RP n . We use these formulas for constructing explicit non-trivial elements in π 1 Diff(S 5 ) and π 1 Diff(S 13 ) and to provide explicit formulas for non-cancellation phenomena in group actions.

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Section: Non-cancellation Phenomena In Group Actionsmentioning

confidence: 99%