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arXiv · 2208.06289

Poincaré Complex Diagonals and the Bass trace Conjecture

John R. Klein·Florian Naef
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Abstract

For a finitely dominated Poincaré duality space $M$, we show how the author's total obstruction to the existence of a Poincaré embedding of the diagonal map $M \to M \times M$ relates to the Reidemeister trace of the identity map of $M$. We also show that if the dimension of $M$ is even and at least four, and if $π_1(M)$ is a finite direct product of cyclic groups of order two, then the diagonal map admits a Poincaré embedding.

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John R. Klein, Florian Naef. 2023-05-15. Poincaré Complex Diagonals and the Bass trace Conjecture. https://doi.org/10.1017/prm.2023.65

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