We show there exist infinitely many knots of every fixed genus $g\geq 2$ which do not admit surgery to an L-space, despite resembling algebraic knots and L-space knots in general: they are algebraically concordant to the torus knot $T(2,2g+1)$ of the same genus and they are fibred and strongly quasipositive
AbstractWe study fibred knots by computing invariant laminations of the monodromy of the fibration a...
Thesis advisor: Joshua E. GreeneWe construct taut foliations in every closed 3-manifold obtained by ...
AbstractWe say a knot k in the 3-sphere S3 has Property IE if the infinite cyclic cover of the knot ...
11 pages, 2 figuresWe show there exist infinitely many knots of every fixed genus $g\geq 2$ which do...
We give a new, conceptually simpler proof of the fact that knots in S3 with positive L-space surgeri...
We construct divide knots with arbitrary smooth four-genus but topological four-genus equal to one. ...
Let K be a knot in an L-space Y with a Dehn surgery to a surface bundle over S¹. We prove that K is ...
We prove that instanton L-space knots are fibered and strongly quasipositive. Our proof differs conc...
Every $L$-space knot is fibered and strongly quasi-positive, but this does not hold for $L$-space li...
We give constraints on when the $n$-fold cyclic branched cover $\Sigma_n(L)$ of a strongly quasiposi...
AbstractBy using a result of Rudolph concerning the four-genera of classical knots, we give an infin...
We say a knot k in the 3-sphere S-3 has Property I E if the infinite cyclic cover of the knot exteri...
Let P(K) be a satellite knot where the pattern P is a Berge–Gabai knot (ie a knot in the solid torus...
We characterize the (1,1) knots in the 3-sphere and lens spaces that admit non-trivial L-space surge...
In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance grou...
AbstractWe study fibred knots by computing invariant laminations of the monodromy of the fibration a...
Thesis advisor: Joshua E. GreeneWe construct taut foliations in every closed 3-manifold obtained by ...
AbstractWe say a knot k in the 3-sphere S3 has Property IE if the infinite cyclic cover of the knot ...
11 pages, 2 figuresWe show there exist infinitely many knots of every fixed genus $g\geq 2$ which do...
We give a new, conceptually simpler proof of the fact that knots in S3 with positive L-space surgeri...
We construct divide knots with arbitrary smooth four-genus but topological four-genus equal to one. ...
Let K be a knot in an L-space Y with a Dehn surgery to a surface bundle over S¹. We prove that K is ...
We prove that instanton L-space knots are fibered and strongly quasipositive. Our proof differs conc...
Every $L$-space knot is fibered and strongly quasi-positive, but this does not hold for $L$-space li...
We give constraints on when the $n$-fold cyclic branched cover $\Sigma_n(L)$ of a strongly quasiposi...
AbstractBy using a result of Rudolph concerning the four-genera of classical knots, we give an infin...
We say a knot k in the 3-sphere S-3 has Property I E if the infinite cyclic cover of the knot exteri...
Let P(K) be a satellite knot where the pattern P is a Berge–Gabai knot (ie a knot in the solid torus...
We characterize the (1,1) knots in the 3-sphere and lens spaces that admit non-trivial L-space surge...
In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance grou...
AbstractWe study fibred knots by computing invariant laminations of the monodromy of the fibration a...
Thesis advisor: Joshua E. GreeneWe construct taut foliations in every closed 3-manifold obtained by ...
AbstractWe say a knot k in the 3-sphere S3 has Property IE if the infinite cyclic cover of the knot ...
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