Thurston norm
WebbThe basic reference for the Thurston norm is [31]; see also [10,28]. Foliations provide a powerful geometric method for studying norm-minimizing surfaces; see [11]. Fibered faces of the Thurston norm ball are studied via a polynomial invariant in [22]. 1 N. Dunfield has announced a negative answer to this question [7]. WebbThe Thurston norm and twisted Alexander polynomials By Stefan Friedl at Regensburg and Stefano Vidussi at Riverside Abstract. Using recent results of Agol, Przytycki–Wise and …
Thurston norm
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Webb1 nov. 2006 · The Thurston norm measures the minimal ‘complexity’ of such surfaces. For instance the Thurston norm of a knot complement determines the genus of the knot in … WebbThurston norm minimizing surfaces for that homology class and de ne the guts of this homology class as the nontrivial parts in the sutured decomposition of the 3-manifold along a facet surface. 1
WebbTHE THURSTON NORM VIA NORMAL SURFACES 3 Proposition 1 (Incompressible is isotopic to normal). Every closed, incompress … Webbpolynomial is tied to the Thurston norm in [Mc2], [Mc1], (see also [Vi]), there is an intriguing circle of ideas here which might be better understood. 2 The Alexander and Thurston norms In this section we recall the Alexander and Thurston norms for a 3-manifold, and prove that Theorem 1.2 holds for the link complement pictured in the Introduction.
WebbThurston norm are described in terms of Reidemeister torsion. Section 7 contains constructions of the Thurston norm ball via normal surface theory and applications of a … Webb27 aug. 2024 · We define the Thurston norm of a homology classdecision problem as follows. The input is a triangulation of a compact orientable 3-manifold M, a simplicial 1 …
WebbIt tells us that an intersection norm on a surface (respectively the Thurston norm on a 3-manifold) encodes the open book decompositions of the unit tangent bundle of that surface (respectively the topology of foliated 3- manifold). Our purpose in this article is to study intersection norms for their own sake.
WebbWe introduce the notion of groups of polytope class and show that torsion-free amenable groups satisfying the Atiyah Conjecture possess this property. A direct consequence is … how to know pan card number by date of birthWebbThurston norm, Reidemeister torsion, 3-manifolds, knot genus Mathematical Subject Classification 2000. Primary: 57M27 Secondary: 57N10 Milestones. Received: 31 August … how to know pan aadhaar link statusWebbOtherwise compute the unit norm ball of the Thurston norm using the above theorem. 2. Determine the top-dimensional faces. 3. For each top-dimensional face F of B: a Let Fˆ be the barycentre of and let α ∈ H 2(M;Z) be the smallest integral multiple of Fˆ. b Find an embedded, norm minimising, transversely oriented normal surface S josephus fatherhow to know pan and tan number of companyWebbWe introduce twisted Alexander norms of a compact connected orientable 3-manifold with first Betti number greater than one, generalizing norms of McMullen and Turaev. We … how to know pan card noWebbLa escala de Norton -MI mide el riesgo de desarrollar UPP. La puntuación que se puede obtener oscila entre 5 (máximo riesgo) y 20 (mínimo riesgo), y adquiere valores de: Alto … how to know pandas versionWebbNorm Thurston [1] (born October 4 in Ogden, Utah) is an American politician and a Republican member of the Utah House of Representatives representing District 64 [2] … how to know pan status