pith. sign in

arxiv: math/0502266 · v1 · submitted 2005-02-13 · 🧮 math.KT

Outer authomorphisms and the Jacobian

classification 🧮 math.KT
keywords canonicalfirstanotheransweringauthomorphismsauthorcirclescohomology
0
0 comments X
read the original abstract

A 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.