Everywhere Equivalent 3-Braids
نویسندگان
چکیده
منابع مشابه
Everywhere Equivalent 3-Braids
A knot (or link) diagram is said to be everywhere equivalent if all the diagrams obtained by switching one crossing represent the same knot (or link). We classify such diagrams of a closed 3-braid.
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A link diagram is said to be (orientedly) everywhere equivalent if all the diagrams obtained by switching one crossing represent the same (oriented) link. We classify such diagrams of two components.
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Using the band representation of the 3-strand braid group, it is shown that the genus of 3-braid links can be read off their skein polynomial. Some applications are given, in particular a simple proof of Morton’s conjectured inequality and a condition to decide that some polynomials, like the one of 949, are not admitted by 3-braid links. Finally, alternating links of braid index 3 are classified.
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We classify fibred closed 3-braids. In particular, given a nontrivial closed 3-braid, either it is fibred, or it differs from a fibred link by adding a crossing. The proof uses Gabai’s method of disk decomposition. The topmost term in the knot Floer homology of closed 3-braids is also computed.
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A risk neutral buyer observes a private signal s ∈ [a, b], which informs her that the mean and variance of a normally distributed risky asset are s and σ s respectively. She then sets a price at which to acquire the asset owned by risk averse “outsiders”. Assume σ s ∈ { 0, σ } for some σ > 0 and let B = { s ∈ [a, b] | σ s = 0 } . If B = ∅, then there exists a fully revealing equilibrium in whic...
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ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2014
ISSN: 1815-0659
DOI: 10.3842/sigma.2014.105