21 citations · 57 across the 11 of their papers we have counts for
12 papers
On 3-braids and L-space knots
Christine Ruey Shan Lee, Faramarz Vafaee
We classify closed 3-braids which are L-space knots.
The prism manifold realization problem III
William Ballinger, Yi Ni, Tynan Ochse +1
Every prism manifold can be parametrized by a pair of relatively prime integers and . In our earlier papers, we determined a complete list of prism manifolds tha…
On the Stein framing number of a knot
Thomas E. Mark, Lisa Piccirillo, Faramarz Vafaee
For an integer , write for the 4-manifold obtained by attaching a 2-handle to the 4-ball along the knot with framing . It is known that if $n< \overli…
The prism manifold realization problem II
William Ballinger, Yi Ni, Tynan Ochse +1
We continue our study of the realization problem for prism manifolds. Every prism manifold can be parametrized by a pair of relatively prime integers and . We determine a…
The prism manifold realization problem
William Ballinger, Chloe Ching-Yun Hsu, Wyatt Mackey +3
The spherical manifold realization problem asks which spherical three-manifolds arise from surgeries on knots in . In recent years, the realization problem for C, T, O, and I-…
(1,1) L-space knots
Joshua Evan Greene, Sam Lewallen, Faramarz Vafaee
We characterize the (1, 1) knots in the three-sphere and lens spaces that admit non-trivial L-space surgeries. As a corollary, 1-bridge braids in these manifolds admit non- trivial…
On L-space knots obtained from unknotting arcs in alternating diagrams
Andrew Donald, Duncan McCoy, Faramarz Vafaee
Let be a diagram of an alternating knot with unknotting number one. The branched double cover of branched over is an L-space obtained by half integral surgery on a kn…
Null surgery on knots in L-spaces
Yi Ni, Faramarz Vafaee
Let be a knot in an L-space with a Dehn surgery to a surface bundle over . We prove that is rationally fibered, that is, the knot complement admits a fibration ove…
A slicing obstruction from the 10/8 theorem
Andrew Donald, Faramarz Vafaee
From Furuta's theorem, we derive a smooth slicing obstruction for knots in using a spin -manifold whose boundary is -surgery on a knot. We show that this…
Berge-Gabai knots and L-space satellite operations
Jennifer Hom, Tye Lidman, Faramarz Vafaee
Let be a satellite knot where the pattern, , is a Berge-Gabai knot (i.e., a knot in the solid torus with a non-trivial solid torus Dehn surgery), and the companion, ,…
On the knot Floer homology of twisted torus knots
Faramarz Vafaee
In this paper we study the knot Floer homology of a subfamily of twisted torus knots where (mod ). Specifically, we classify the knots in this subfamily…
Seifert surfaces distinguished by sutured Floer homology but not its Euler characteristic
Faramarz Vafaee
In this paper we find a family of knots with trivial Alexander polynomial, and construct two non-isotopic Seifert surfaces for each member in our family. In order to distinguish th…