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Toroidal Dehn fillings on large hyperbolic 3-manifolds
Masakazu Teragaito
We show that if a hyperbolic 3-manifold with a single torus boundary admits two Dehn fillings at distance 5, each of which contains an essential torus, then is a rational h…
Alexander polynomials of doubly primitive knots
Kazuhiro Ichihara, Toshio Saito, Masakazu Teragaito
We give a formula for Alexander polynomials of doubly primitive knots.
Crosscap numbers of 2-bridge knots
Mikami Hirasawa, Masakazu Teragaito
We present a practical algorithm to determine the minimal genus of non-orientable spanning surfaces for 2-bridge knots, called the crosscap numbers. We will exhibit a table of cros…
Boundary structures of hyperbolic 3-manifolds admitting annular and toroidal fillings at large distance
Sangyop Lee, Masakazu Teragaito
For a hyperbolic 3-manifold with a torus boundary component,all but finitely many Dehn fillings yield hyperbolic 3-manifolds. In this paper, we will focus on the situation wher…
On hyperbolic knots realizing the maximal distance between toroidal surgeries
Masakazu Teragaito
For a hyperbolic knot in the 3-sphere, the distance between toroidal surgeries is at most 5, except the figure eight knot. In this paper, we determine all hyperbolic knots that adm…
Distance between toroidal surgeries on hyperbolic knots in the 3-sphere
Masakazu Teragaito
For a hyperbolic knot in the 3-sphere, at most finitely many Dehn surgeries yield non-hyperbolic 3-manifolds. As a typical case of such an exceptional surgery, a toroidal surgery i…