Some examples related to knot sliceness
نویسندگان
چکیده
منابع مشابه
Some Examples Related to Knot Sliceness
It is known that the linking form on the 2-cover of slice knots has a metabolizer. We show that several weaker conditions, or some other conditions related to sliceness, do not imply the existence of a metabolizer. We then show how the Rudolph-Bennequin inequality can be used indirectly to prove that some knots are not slice.
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For an oriented link L C S3 = dD4 , let Xs(L) be the greatest Euler characteristic x(F) of an oriented 2-manifold F (without closed components) smoothly embedded in D4 with boundary L . A knot K is slice if Xs(K) = 1 . Realize D4 in C2 as {(z, w) : \z\2 + \w\2 < 1} . It has been conjectured that, if V is a nonsingular complex plane curve transverse to S3 , then Xs(VnS3) = ^(KnZ)4). Kronheimer a...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2007
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2006.09.003