Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Vafaee, Faramarz"'
We classify closed 3-braids which are L-space knots.
Comment: 9 pages, 1 figure
Comment: 9 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/1911.01289
Every prism manifold can be parametrized by a pair of relatively prime integers $p>1$ and $q$. In our earlier papers, we determined a complete list of prism manifolds $P(p, q)$ that can be realized by positive integral surgeries on knots in $S^3$ whe
Externí odkaz:
http://arxiv.org/abs/1808.05321
For an integer $n$, write $X_n(K)$ for the 4-manifold obtained by attaching a 2-handle to the 4-ball along the knot $K\subset S^3$ with framing $n$. It is known that if $n< \overline{\text{tb}}(K)$, then $X_n(K)$ admits the structure of a Stein domai
Externí odkaz:
http://arxiv.org/abs/1710.08346
We continue our study of the realization problem for prism manifolds. Every prism manifold can be parametrized by a pair of relatively prime integers $p>1$ and $q$. We determine a complete list of prism manifolds $P(p, q)$ that can be realized by pos
Externí odkaz:
http://arxiv.org/abs/1710.00089
Autor:
Ballinger, William, Hsu, Chloe Ching-Yun, Mackey, Wyatt, Ni, Yi, Ochse, Tynan, Vafaee, Faramarz
Publikováno v:
Algebr. Geom. Topol. 20 (2020) 757-816
The spherical manifold realization problem asks which spherical three-manifolds arise from surgeries on knots in $S^3$. In recent years, the realization problem for C, T, O, and I-type spherical manifolds has been solved, leaving the D-type manifolds
Externí odkaz:
http://arxiv.org/abs/1612.04921
Publikováno v:
Compositio Math. 154 (2018) 918-933
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 L-space surgeries. We also recover a characterization of the Berge ma
Externí odkaz:
http://arxiv.org/abs/1610.04810
Publikováno v:
New York J. Math. 25 (2019), 518-540
Let $D$ be a diagram of an alternating knot with unknotting number one. The branched double cover of $S^3$ branched over $D$ is an L-space obtained by half integral surgery on a knot $K_D$. We denote the set of all such knots $K_D$ by $\mathcal D$. W
Externí odkaz:
http://arxiv.org/abs/1610.00401
Autor:
Ni, Yi, Vafaee, Faramarz
Let $K$ be a knot in an L-space $Y$ with a Dehn surgery to a surface bundle over $S^1$. We prove that $K$ is rationally fibered, that is, the knot complement admits a fibration over $S^1$. As part of the proof, we show that if $K\subset Y$ has a Dehn
Externí odkaz:
http://arxiv.org/abs/1608.07050
Autor:
Donald, Andrew, Vafaee, Faramarz
Publikováno v:
Proc. of the American Mathematical Society 144 (2016) no. 12 5397-5405
From Furuta's $\frac{10}{8}$ theorem, we derive a smooth slicing obstruction for knots in $S^3$ using a spin $4$-manifold whose boundary is $0$-surgery on a knot. We show that this obstruction is able to detect torsion elements in the smooth concorda
Externí odkaz:
http://arxiv.org/abs/1508.07047
Publikováno v:
Algebr. Geom. Topol. 14 (2014) 3745-3763
Let $P(K)$ be a satellite knot where the pattern, $P$, is a Berge-Gabai knot (i.e., a knot in the solid torus with a non-trivial solid torus Dehn surgery), and the companion, $K$, is a non-trivial knot in $S^3$. We prove that $P(K)$ is an L-space kno
Externí odkaz:
http://arxiv.org/abs/1406.1597