Rational homology of Aut(Fn)
Allen Hatcher and Karen Vogtmann
Mathematical Research Letters 5, 759-780 (1998)
We compute the rational homology in dimensions
less than seven
of the group of automorphisms of a finitely
generated free group
of arbitrary rank. The only non-zero group in this range is
H4(Aut(F4 );Q), which is one-dimensional.
- Figure 5 (gif): Degree 3 graphs and trees
- Figure 6 (gif): Non-trivial cycle in degree 4, rank 4
- Figure 8 (gif): Another degree 4 cycle
- Figure 9 (gif): Cycle in degree 4, rank 5
