Gorsky, Eugene and Némethi, András (2018) On the set of Lspace surgeries for links. ADVANCES IN MATHEMATICS, 333. pp. 386422. ISSN 00018708

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Abstract
We study the qualitative structure of the set LS of integral Lspace surgery slopes for links with two components. It is known that the set of Lspace surgery slopes for a nontrivial Lspace knot is always a positive halfline. However, already for twocomponent torus links the set LS has a very complicated structure, e.g. in some cases it can be unbounded from below. In order to probe the geometry of this set, we ask if it is bounded from below for more general Lspace links with two components. For algebraic twocomponent links we provide three complete characterizations for the boundedness from below: one in terms of the Alexander polynomial, one in terms of the embedded resolution graph, and one in terms of the socalled hfunction introduced by the authors in [9]. It turns out that LS is bounded from below for most algebraic links. If it is unbounded from below, it must contain a negative halfline parallel to one of the axes. We also give a sufficient condition for boundedness for arbitrary Lspace links. © 2018 Elsevier Inc.
Item Type:  Article 

Uncontrolled Keywords:  SURFACES; surgery; manifolds; CURVES; INTERVALS; Invariants; Heegaard Floer homology; Lspace; Floer homology; Alexander polynomial; HOLOMORPHIC DISKS; Graph manifold; FUNDAMENTALGROUPS; RATIONALSINGULARITIES; DEFINITE PLUMBED 3MANIFOLDS; Alexander polynomial; 
Subjects:  Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria 
SWORD Depositor:  MTMT SWORD 
Depositing User:  MTMT SWORD 
Date Deposited:  14 Jan 2019 07:47 
Last Modified:  14 Jan 2019 07:47 
URI:  http://real.mtak.hu/id/eprint/89809 
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