L‐space surgeries on 2‐component L‐space links
نویسندگان
چکیده
منابع مشابه
Legendrian Surgeries on Stabilized Legendrian Links
We use Seiberg-Witten monopoles and Ozsváth-Szabó invariants to distinguish between tight contact structures obtained by Legendrian surgeries on stabilized Legendrian links in tight contact 3-manifolds.
متن کاملLinks with No Exceptional Surgeries
We show that if a knot admits a prime, twist-reduced diagram with at least 4 twist regions and at least 6 crossings per twist region, then every non-trivial Dehn filling of that knot is hyperbolike. A similar statement holds for links. We prove this using two arguments, one geometric and one combinatorial. The combinatorial argument further implies that every link with at least 2 twist regions ...
متن کاملSurgeries on periodic links and homology of periodic 3 - manifolds
We show that a closed orientable 3-manifold M admits an action of Zp with fixed point set S 1 iff M can be obtained as the result of surgery on a p-periodic framed link L and Zp acts freely on the components of L. We prove a similar theorem for free Zp-actions. As an interesting application, we prove the following, rather unexpected result: for any M as above and for any odd prime p, H1(M,Zp) 6...
متن کاملDehn Surgeries on 2-bridge Links Which Yield Reducible 3-manifolds
No surgery on a non-torus 2-bridge knot yields a reducible 3-manifold as shown in Theorem 2(a) in [7] by A. Hatcher and W. Thurston. Dehn surgeries on 2-bridge knots are already well studied by M. Brittenham and Y.-Q. Wu in [2]. See also [11]. On 2-bridge links of 2-components, Wu showed in [13, Theorem 5.1 and Remark 5.5] the following theorem. The universal covering space of a laminar 3-manif...
متن کاملCoherent band pathways between knots and links
We categorise coherent band (aka nullification) pathways between knots and 2component links. Additionally, we characterise the minimal coherent band pathways (with intermediates) between any two knots or 2-component links with small crossing number. We demonstrate these band surgeries for knots and links with small crossing number. We apply these results to place lower bounds on the minimum num...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the London Mathematical Society
سال: 2021
ISSN: 2052-4986,2052-4986
DOI: 10.1112/tlm3.12027