Keyword: Non-orientable Genus : Search

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Search name	Searched On	Run search
Keyword: Generation Technique (1)	25 Mar 2025	Run
Keyword: Non-orientable Genus (1)	25 Mar 2025	Run
Keyword: Generation Mechanism (2)	25 Mar 2025	Run
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Keyword: Mahalanobis Distance (7)	25 Mar 2025	Run

articleNo Access
BOUNDS ON THE CROSSCAP NUMBER OF TORUS KNOTS
- THOMAS W. MATTMAN and
- OWEN SIZEMORE
Journal of Knot Theory and Its Ramifications01 Oct 2007
Preview Abstract
For a torus knot K, we bound the crosscap number c(K) in terms of the genus g(K) and crossing number n(K) : c(K) ≤ ⌊(g(K)+9)/6⌋ and c(K) ≤ ⌊(n(K) + 16)/12⌋. The (6n - 2,3) torus knots show that these bounds are sharp.

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