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Peripheral topology conjecture for finite-volume nonpositively curved manifolds
Peripheral topology conjecture. $M$ cannot be homotoped to be contained in a collar neighborhood of $\partial\overline{M}$ .
Conjectureopenfinite-volume-manifolds geometric-topology negative-curvature-geometryarXiv posted 2 days ago

Peripheral topology conjecture for finite-volume nonpositively curved manifolds