The stable cohomology of self-equivalences of connected sums of products of spheres

Abstract

We identify the cohomology of the stable classifying space of homotopy automorphisms (relative to an embedded disk) of connected sums of ${\mathrm {S}^{k}} \times {\mathrm {S}^{l}}$ , where $3 \le k < l \le 2k - 2$ . The result is expressed in terms of Lie graph complex homology.

Keywords

• 55R40
• 55P62
• 18G85