Poincare complex diagonals and the Bass trace conjecture

For a finitely dominated Poincar ' e duality space M, we show how the first author's total obstruction mu M to the existence of a Poincar ' e embedding of the diagonal map M -> M xM in [17] relates to the Reidemeister trace of the identity map of M. We then apply this relationship to show that mu M vanishes when suitable conditions on the fundamental group of M are satisfied.

Automated summary

In this paper, we investigate the relationship between the total obstruction mu M, proposed by the first author, to the existence of a Poincaré embedding of the diagonal map M -> M xM in [17], and the Reidemeister trace of the identity map of M for a finitely dominated Poincaré duality space M. We then demonstrate that mu M vanishes when suitable conditions on the fundamental group of M are satisfied.