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pro vyhledávání: '"57K10, 57M12"'
We show an infinite family of hyperbolic knots that have an exceptional surgery producing a graph manifold containing five disjoint, and non parallel incompressible tori.
Comment: 9 pages, 7 figures
Comment: 9 pages, 7 figures
Externí odkaz:
http://arxiv.org/abs/2310.10087
Publikováno v:
Pacific J. Math. 332 (2024) 69-89
The transient number of a knot K, denoted tr(K), is the minimal number of simple arcs that have to be attached to K, in order that K can be homotoped to a trivial knot in a regular neighborhood of the union of K and the arcs. We give a lower bound fo
Externí odkaz:
http://arxiv.org/abs/2307.14622
Autor:
Abchir, Hamid, Lamsifer, Soukaina
We improve the lower bound for the minimum number of colors for linear Alexander quandle colorings of a knot given in Theorem 1.2 of Colorings beyond Fox: The other linear Alexander quandles (Linear Algebra and its Applications, Vol. 548, 2018). We e
Externí odkaz:
http://arxiv.org/abs/2210.06530
A Fox p-colored knot $K$ in $S^3$ gives rise to a $p$-fold branched cover $M$ of $S^3$ along $K$. The pre-image of the knot $K$ under the covering map is a $\dfrac{p+1}{2}$-component link $L$ in $M$, and the set of pairwise linking numbers of the com
Externí odkaz:
http://arxiv.org/abs/2112.14790
Autor:
Abchir, Hamid, Sabak, Mohammed
For each connected alternating tangle, we provide an infinite family of non-left-orderable L-spaces. This gives further support for Conjecture [3] of Boyer, Gordon, and Watson that is a rational homology 3-sphere is an L-space if and only if it is no
Externí odkaz:
http://arxiv.org/abs/2104.14930
For a bridge decomposition of a link in the $3$-sphere, we define the Goeritz group to be the group of isotopy classes of orientation-preserving homeomorphisms of the $3$-sphere that preserve each of the bridge sphere and link setwise. After describi
Externí odkaz:
http://arxiv.org/abs/2004.03098
For a bridge decomposition of a link in the $3$-sphere, we define the Goeritz group to be the group of isotopy classes of orientation-preserving homeomorphisms of the $3$-sphere that preserve each of the bridge sphere and link setwise. After describi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b7d13600938e438ccc7e82f81ac015e