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Showing 1 to 10 of 10 for “"Skein"”.
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Knots, Skein Theory and q-Series
… of alternating links using the colored Kauffman skein relation. This gives a natural extension of a result by Kauffman, Murasugi, and Thistlethwaite regarding the highest and lowest coefficients of Jones polynomial of alternating links. Furthermore, we show that our approach gives a new and …
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Kauffman Bracket Skein Modules And The Quantum Torus
If M is a 3-manifold, the Kauffman bracket skein module is a vector space Kq (M ) functorially associated to M that depends on a parameter q ∈ C* . If F is a surface, then Kq (F x [0, 1]) is an algebra, and Kq (M ) is a module over Kq ((∂M ) x [0, 1]). One motivation for the definition is that if L …
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MUTATION INVARIANT FUNCTIONS ON CLUSTER ENSEMBLES ASSOCIATED WITH SURFACES
… hyperbolic geometry, Teichm\'uller theory and skein algebras of surfaces. We complete a classification of them for surface ensembles for the action of Dehn twists, and generalize this classification to the non-surface mutation finite setting. We use this classification to answer some questions …
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The head and tail conjecture for alternating knots
… polynomial in particular. In Chapter 3, we use skein theory to prove that for adequate links, the n-th leading coefficient of the N-th colored Jones polynomial stabilizes when viewed as a sequence in N. This property allows us to define the head and tail for adequate links. In Chapter 4 we show …
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On conjectures related to character varieties of knots and Jones polynomials
It is well known that the Kauffman Bracket Skein Module of a knot complement K_q(S^3 \ K) is canonically a module over the Z_2-invariants of the quantum torus, A_q^{Z_2}, and this module determines the colored Jones polynomials J_n(K; q) of the knot K. Berest and Samuelson identified a conjecture …
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Fair Comparison of ASIC Performance for SHA-3 Finalists
… which includes Blake, Groestl, Keccak, JH, and Skein, have been chosen as the ones to be implemented for experiments in this thesis. This thesis has first explored the effects of different synthesis constraints on ASIC performance, such as the analysis of performance when it is constrained for …
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Félagsráðgjöf og fóstureyðingar. Fóstureyðingarráðgjöf félagsráðgjafa 1975-2016
… frá upphafi boðið upp á góða þjónustu. Einnig skein það í gegn í viðtölunum að félagsráðgjöfum er mjög umhugað um starf sitt, um konurnar sem þeir töluðu við og almennt um réttindi kvenna til fóstureyðinga. Lykilorð: fóstureyðingar, félagsráðgjöf, fóstureyðingarráðgjöf, réttur til …
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On a Heegaard Floer theory for tangles
… we can easily recover oriented and unoriented skein relations for HFL^. Our peculiar modules also enjoy some symmetry relations, which support a conjecture about δ-graded mutation invariance of HFL^. However, stronger symmetries would be needed to actually prove this conjecture. Finally, we …
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Mechanics of biopolymer networks, stimuli responsive particle suspensions, and their combinations
… the threads in a condensed coiled state known as skeins (∼ 100 µm), which must unravel within a fraction of a second and form a soft hydrogel to thwart a predator attack. The mechanisms of how the hagfish controls the unraveling rates, and the properties of the resulting gel are not well …
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Manufacturing synthetic Hagfish slime skeins using embedded 3D printing
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2025-05-01