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In a smooth compact 3 manifold there is an embedded loop - a diffeomorph of the circle
Consider a torus that is the boundary of a tubular neighborhood of this loop.
If the loop is not null homotopic does that imply that the torus is not null homologous?
Consider a torus that is the boundary of a tubular neighborhood of this loop.
If the loop is not null homotopic does that imply that the torus is not null homologous?