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math.GT2011
Prime knots whose arc index is smaller than the crossing number
Gyo Taek Jin, Hwa Jeong Lee
It is known that the arc index of alternating knots is the minimal crossing number plus two and the arc index of prime nonalternating knots is less than or equal to the minimal cro…
math.GT2010
Projective Deformations of Hyperbolic Coxeter 3-Orbifolds
Suhyoung Choi, Craig D. Hodgson, Gye-Seon Lee
By using Klein's model for hyperbolic geometry, hyperbolic structures on orbifolds or manifolds provide examples of real projective structures. By Andreev's theorem, many 3-dimensi…