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Twisted Alexander Invariants Of Twisted Links
twisted alexander invariants of twisted links 3 we recall that the alexander polynomial l is the rst term in a sequence of polynomial invariants that are successive divisors see below. the authors conjec tured 13 that when l vanishes the conclusion of theorem 2.3 holds with l
The Polynomial Invariants Of Twisted Links
twisted links correspond to stable equivalence classes of links in oriented 3 manifolds which are line bundles over closed possibly non orientable surfaces 1. virtual links are regarded as twisted links. a virtual link diagram is a link diagram which may have virtual crossings which are encircled crossings without over
Euclidean Mahler Measure And Twisted Links
euclidean mahler measure and twisted links daniel s. silver 1 alexander stoimenow2 and susan g. williams abstract if the twist numbers of a collection of oriented alternating link diagrams are bounded then the alexander polynomials of the corresponding links have bounded euclidean mahler measure see denition 1.2.
Euclidean Mahler Measure And Twisted Links
of links q. as q goes to innity the mahler measures of the jones polynomials v q converge champanerkar and kofman 5 the mahler measures of the alexander polynomials q will also converge provided that the twisted arcs are coherently oriented 27. if we insert arbitrary numbers q i of full twists at several sites then as all q
Essential Twisted Surfaces In Alternating Link Complements
1.2. twisted surfaces. in this subsection we will de ne the twisted checkerboard sur faces. first x a prime twist reduced alternating diagram of the hyperbolic alternating link k. throughout we will abuse notation and refer to the link and its diagram by k. for each twist region of kwith at least n tw crossings where n tw will be determined
Arxiv1907.02982v1 Math.gt 5 Jul 2019
we call f a twisted surface. a diagram dis twisted if it determines such a surface via a checkerboard coloring and a link is twisted if it admits a twisted diagram. theorem 1. the meridional rank conjecture holds for twisted links. the bridge number of such a twisted link is equal to the number of planar regions in in the complement of
Twisted Alexander Polynomial Of Links In The Projective ...
twisted alexander polynomial of links in the projective space 3 b3 n s p px d2 x upper point lower point figure 1. standard model. a small arc of le around a lower point is called an underpass. the projection ple together with information about overpasses and underpasses is called a diagram of the link l. figure 4 is an example of a diagram
On The Twisted Alexander Polynomial For Hyperbolic Fibered ...
on the twisted alexander polynomial for hyperbolic bered links via twisted monodromy jerome dubois1 and yoshikazu yamaguchi2 1institut de mathematiques de jussieu universite paris 7 2jsps research fellow pd tokyo institute of technology gcoe workshop circle valued morse theory and alexander invariants
