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The rational homology of the outer automorphism group of $F_7$
Published 9 Dec 2015 in math.GR, cs.DM, and math.AT | (1512.03075v2)
Abstract: We compute the homology groups $H_(\operatorname{Out}(F_7);\mathbb Q)$ of the outer automorphism group of the free group of rank $7$. We produce in this manner the first rational homology classes of $\operatorname{Out}(F_n)$ that are neither constant ($=0$) nor Morita classes ($*=2n-4$).
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