A natural framing of knots.

Greene, Michael; Wiest, Bert

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The slicing number of a knot.

Livingston, Charles (2002)

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Applications of topology to DNA

Isabel Darcy, De Sumners (1998)

Banach Center Publications

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The following is an expository article meant to give a simplified introduction to applications of topology to DNA.

Concordance and mutation.

Kirk, P., Livingston, C. (2001)

Geometry & Topology

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Mp-small summands increase knot width.

Hendricks, Jacob (2004)

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On slice knots in the complex projective plane.

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.

The concordance genus of knots.

Livingston, Charles (2004)

Algebraic & Geometric Topology

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Computations of the Ozsvath-Szabo knot concordance invariant.

Livingston, Charles (2004)

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New topologically slice knots.

Friedl, Stefan, Teichner, Peter (2005)

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Thin presentation of knots and lens spaces.

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

Algebraic & Geometric Topology

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Geometric presentations of classical knot groups.

Erbland, John, Guterriez, Mauricio (1991)

International Journal of Mathematics and Mathematical Sciences

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Minimizing the presentation of a knot group.

Dugopolski, Mark J. (1985)

International Journal of Mathematics and Mathematical Sciences

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Splitting the concordance group of algebraically slice knots.

Livingston, Charles (2003)

Geometry & Topology

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