Virtual homology of surgered torus bundles
Virtual homology of surgered torus bundles
Let M be a once-punctured torus bundle over S 1 with monodromy h.We show that, under certain hypotheses on h, "most" Dehn-fillings of M (in some cases all but finitely many) are virtually Z-representable.We apply our results to show that even surgeries on the figure eight knot are virtually Z-representable.