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Canonical decompositions for Poincar\'e duality pairs

Peter Scott·Gadde A. Swarup
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Abstract

The authors previously described an algebraic analogue of the JSJ-decomposition of a 3-manifold. This analogue is defined for any finitely presented, one-ended group. We study this analogue in the special case of Poincar\'e duality pairs.

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Peter Scott, Gadde A. Swarup. 2007-03-29. Canonical decompositions for Poincar\'e duality pairs. https://arxiv.org/abs/math/0703890

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