sum of links, V L (-1)=Δ L (-1) where Δ L means the Alexander polynomial, V L (1)=(-2) p-1 where p is the number of components of L, V K (e 2πi/3 )=1 and d/dt V K (1)=0 if K is a knot. If... Jones,FR Vaughan - 《Bulletin of the American Mathematical...
Check out this wedding dress from Justin Alexander Signature. View photos, read details and find nearby salons at TheKnot.com.
Check out this wedding dress from Justin Alexander. View photos, read details and find nearby salons at TheKnot.com.
The Gordian Knot is an ancient Greek story about Gordias and the ox-cart that he fastened to a post using a knot. The story is set in Phrygias, in modern-day Turkey, where the local people had no king. Because of this, the oracle proclaimed that the next man who would enter the ...
Steven Ford
Homotopy of knots and the Alexander polynomial David Austin and Dale Rolfsen ABSTRACT: Any knot in a 3-dimensional homology sphere is ho- motopic to a knot with trivial Alexander polynomial. 1. Introduction. A knot K in a homology 3-sphere M has a well-defined symmetrized Alexan- der ...
Alexander the Great, a fearless Macedonian king and military genius, conquered vast territories from Greece to Egypt and India, leaving an enduring legacy as one of history’s most remarkable conquerors.
Alexander the GreatAlexander the Great, detail fromAlexander and Porus, painting by Charles Le Brun, 17th century; in the Louvre, Paris, France. Alexander the Great king of Macedonia Also known as: Alexander III, Alexander of Macedonia
Suppose that a knot is deformed into another knot by a ν-unknotting operation. Then we will show that the difference of their Nakanishi indices is less than or equal to three and that the difference of the minimum numbers of generators of the first homology groups of their double branched ...
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