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

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.

Bibliographic Details
Main Author: Robin Stoll
Format: Article
Language:English
Published: Cambridge University Press 2024-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509423001135/type/journal_article