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CERF THEORY FOR GRAPHS

Published online by Cambridge University Press:  01 December 1998

ALLEN HATCHER  and
KAREN VOGTMANN
ALLEN HATCHER
Affiliation:
Department of Mathematics, Cornell University, Ithaca, NY 14853-7901, USA
KAREN VOGTMANN
Affiliation:
Department of Mathematics, Cornell University, Ithaca, NY 14853-7901, USA
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Abstract

We develop a deformation theory for k-parameter families of pointed marked graphs with fixed fundamental group Fn. Applications include a simple geometric proof of stability of the rational homology of Aut(Fn), computations of the rational homology in small dimensions, proofs that various natural complexes of free factorizations of Fn are highly connected, and an improvement on the stability range for the integral homology of Aut(Fn).

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 58 , Issue 3 , December 1998 , pp. 633 - 655
Copyright
The London Mathematical Society 1998

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