### A natural framing of knots.

Greene, Michael, Wiest, Bert (1998)

Geometry & Topology

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Greene, Michael, Wiest, Bert (1998)

Geometry & Topology

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Clark, Bradd Evans (1983)

International Journal of Mathematics and Mathematical Sciences

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Akira Yasuhara (1992)

Revista Matemática de la Universidad Complutense de Madrid

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We investigate the knots in the boundary of the punctured complex projective plane. Our result gives an affirmative answer to a question raised by Suzuki. As an application, we answer to a question by Mathieu.

Livingston, Charles (2002)

Algebraic & Geometric Topology

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Deruelle, A., Matignon, D. (2003)

Algebraic & Geometric Topology

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Friedl, Stefan, Teichner, Peter (2005)

Geometry & Topology

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Livingston, Charles (2004)

Algebraic & Geometric Topology

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Livingston, Charles (2004)

Geometry & Topology

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Hendricks, Jacob (2004)

Algebraic & Geometric Topology

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Dugopolski, Mark J. (1985)

International Journal of Mathematics and Mathematical Sciences

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Vladimir Chernov, Rustam Sadykov (2016)

Fundamenta Mathematicae

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An elementary stabilization of a Legendrian knot L in the spherical cotangent bundle ST*M of a surface M is a surgery that results in attaching a handle to M along two discs away from the image in M of the projection of the knot L. A virtual Legendrian isotopy is a composition of stabilizations, destabilizations and Legendrian isotopies. A class of virtual Legendrian isotopy is called a virtual Legendrian knot. In contrast to Legendrian knots, virtual Legendrian knots...

Seiichi Kamada (2001)

Fundamenta Mathematicae

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A Wirtinger presentation of a knot group is obtained from a diagram of the knot. T. Yajima showed that for a 2-knot or a closed oriented surface embedded in the Euclidean 4-space, a Wirtinger presentation of the knot group is obtained from a diagram in an analogous way. J. S. Carter and M. Saito generalized the method to non-orientable surfaces in 4-space by cutting non-orientable sheets of their diagrams by some arcs. We give a modification to their method so that one does not need...

Plamenevskaya, Olga (2004)

Algebraic & Geometric Topology

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