Preprint\(PD_3\)pairs with compressible boundaryJonathan A. HillmanAbstractWe extend work of Turaev and Bleile to relax the \(\pi_1\)injectivity hypothesis in the characterization of the fundamental triples of \(PD_3\)pairs with aspherical boundary components. This is further extended to pairs \((P,\partial{P})\) which also have spherical boundary components and with \(c.d.\pi_1(P)\leq2\). Keywords: Algebraic Loop Theorem, free factor, \(PD_3\)pair, peripheral system.AMS Subject Classification: Primary 57P10.
This paper is available as a pdf (348kB) file. It is also on the arXiv: arxiv.org/abs/2006.08057.
