Knot signatures and complex singularities - Lecture 1 | Vidéo | Carmin.tv

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Knot signatures and complex singularities - Lecture 1

Appears in collection : Trisections and related topics / Trisections et interactions

Rudolph conjectured that links of irreducible complex curve singularities are linearly independent in the concordance group. In this mini-course we will make sense of the previous sentence, then we will present a proof of a partial result in this direction (due to Litherland), and finally we will study a similar question in the context of deformations of singularities. If time permits, higher-dimensional objects and questions will make an appearance.

Information about the video

Date of recording 06/10/2025
Date of publication 28/10/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20394503
Cite this video Golla, Marco (06/10/2025). Knot signatures and complex singularities - Lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20394503
URL https://dx.doi.org/10.24350/CIRM.V.20394503

Domain(s)

Bibliography

ROLFSEN, Dale. Knots and links. American Mathematical Soc., 2003. - https://doi.org/10.1090/chel/346
LICKORISH, WB Raymond. An introduction to knot theory. Springer Science & Business Media, 2012. - https://doi.org/10.1007/978-1-4612-0691-0
KAUFFMAN, Louis H., On knots, Pinceton University Press, 1988
LITHERLAND, Richard A. Signatures of iterated torus knots. In : Topology of Low-Dimensional Manifolds: Proceedings of the Second Sussex Conference, 1977. Berlin, Heidelberg : Springer Berlin Heidelberg, 2006. p. 71-84. - https://doi.org/10.1007/BFb0063191
MILNOR, John Willard. Singular points of complex hypersurfaces. Princeton University Press, 1968. -

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