Outer authomorphisms and the Jacobian

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dc.creatorIgusa, Kiyoshi
dc.creatorKlein, John
dc.creatorWilliams, E. Bruce
dc.date2005-02-13
dc.date.accessioned2026-07-07T05:16:56Z
dc.date.available2026-07-07T05:16:56Z
dc.descriptionA graphs of rank n (homotopy equivalent to a wedge of n circles) without ``separating edges'' has a canonical n-dimensional compact C^1 manifold thickening. This implies that the canonical homomorphism f:Out(F_n)-> GL(n,Z) is trivial in rational cohomology in the stable range answering a question raised by Hatcher and Vogtmann [6]. Another consequence of the construction is the existence of higher Reidemeister torsion invariants for IOut(F_n)=ker f. These facts were first proved by the first author in [8] using different methods.
dc.description19 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0502266
dc.identifierhttp://arxiv.org/abs/math/0502266
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74175
dc.subjectK-Theory and Homology
dc.subject55R40, 57M15
dc.titleOuter authomorphisms and the Jacobian
dc.typetext

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