18 research outputs found
Homfly Polynomials of Generalized Hopf Links
Following the recent work by T.-H. Chan in [HOMFLY polynomial of some
generalized Hopf links, J. Knot Theory Ramif. 9 (2000) 865--883] on reverse
string parallels of the Hopf link we give an alternative approach to finding
the Homfly polynomials of these links, based on the Homfly skein of the
annulus. We establish that two natural skein maps have distinct eigenvalues,
answering a question raised by Chan, and use this result to calculate the
Homfly polynomial of some more general reverse string satellites of the Hopf
link.Comment: Published by Algebraic and Geometric Topology at
http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-2.abs.htm
Conjugacy for positive permutation braids
Positive permutation braids on n strings, which are defined to be positive n-braids where each pair of strings crosses at most once, form the elementary but non-trivial building blocks in many studies of conjugacy in the braid groups. We consider conjugacy among these elementary braids which close to knots, and show that those which close to the trivial knot or to the trefoil are all conjugate. All such n-braids with the maximum possible crossing number are also shown to be conjugate. We note that conjugacy of these braids for n<6 depends only on the crossing number. In contrast, we exhibit two such braids on 6 strings with 9 crossings which are not conjugate but whose closures are each isotopic to the (2,5) torus knot
Bone mineral density loss during adjuvant chemotherapy in pre-menopausal women with early breast cancer: is it dependent on oestrogen deficiency?
Sensitive 3-omega measurements on epitaxial thermoelectric thin films
International audienc
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Nanostructured Ge:Mn thin film: an efficient thermoelectric material
International audienc