The stable cohomology of self-equivalences of connected sums of products of spheres
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910369335738368 |
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| author | Stoll, Robin |
| author_facet | Stoll, Robin |
| contents | We identify the cohomology of the stable classifying space of homotopy automorphisms (relative to an embedded disk) of connected sums of $S^k \times S^l$, where $3 \le k < l \le 2k - 2$. The result is expressed in terms of Lie graph complex homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_15650 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The stable cohomology of self-equivalences of connected sums of products of spheres Stoll, Robin Algebraic Topology 55R40 (Primary) 55P62, 18G85 (Secondary) We identify the cohomology of the stable classifying space of homotopy automorphisms (relative to an embedded disk) of connected sums of $S^k \times S^l$, where $3 \le k < l \le 2k - 2$. The result is expressed in terms of Lie graph complex homology. |
| title | The stable cohomology of self-equivalences of connected sums of products of spheres |
| topic | Algebraic Topology 55R40 (Primary) 55P62, 18G85 (Secondary) |
| url | https://arxiv.org/abs/2203.15650 |