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Slice genus

In mathematics, the slice genus of a smooth knot K in S3 (sometimes called its Murasugi genus or 4-ball genus) is the least integer g such that K is the boundary of a connected, compact, orientable 2-manifold S of genus g properly embedded in the 4-ball D4 bounded by S3.

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Slice genus

Nodes11
Edges10
Triples17
Avg. degree1.82
Density0.181818
Components1

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Slice genus

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related to Further reading · 17
Slice genus → American Mathematical Society, Amsterdam, Elsevier, Handbook, ISBN, Lee, Livingston Charles, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, MR, Proceedings, Rudolph, S0002-9939-97-04258-5, The, Thurston-Bennequin, Wikisource-logo

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Important terminology

slice genus knot smooth integer embedded bounded required topologically locally flat theory invariant mr mathematics concordant unknot 10 s3 sometimes

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SubjectPredicateObjectConfidenceSrc
Slice genusrelated to Further readingLock-green0.60section
Slice genusrelated to Further readingLock-gray-alt-20.60section
Slice genusrelated to Further readingLock-red-alt-20.60section
Slice genusrelated to Further readingWikisource-logo0.60section
Slice genusrelated to Further readingRudolph0.60section
Slice genusrelated to Further readingLee0.60section
Slice genusrelated to Further readingThe0.60section
Slice genusrelated to Further readingThurston-Bennequin0.60section
Slice genusrelated to Further readingProceedings0.60section
Slice genusrelated to Further readingAmerican Mathematical Society0.60section
Slice genusrelated to Further readingS0002-9939-97-04258-50.60section
Slice genusrelated to Further readingMR0.60section

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