Some instances where topological illustration induced new mathematics

Apparaît dans la collection : 2026 - T1 - WS2 - Bridging visualization and understanding in Geometry and Topology

We shall present instances from generalised knot theory, braid theory and their interactions, where illustration promoted understanding and inspired new mathematics.

Informations sur la vidéo

Date de captation 19/02/2026
Date de publication 24/02/2026
Institut IHP
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants, Etudiants
Réalisateur(s) Service audiovisuel de l'IHP
Format MP4
Lieu IHP - Hermite Amphitheater

Données de citation

DOI 10.57987/IHP.2026.T1.WS2.011
Citer cette vidéo Lambropoulou, Sofia (19/02/2026). Some instances where topological illustration induced new mathematics. IHP. Audiovisual resource. DOI: 10.57987/IHP.2026.T1.WS2.011
URL https://dx.doi.org/10.57987/IHP.2026.T1.WS2.011

Domaine(s)

Topologie géométrique

Bibliographie

C.C. Adams, The Knot Book, Freeman. W.B.R. Lickorish, An Introduction to Knot Theory, Springer. L.H. Kauffman, Knots and Physics, World Scientific. V.F.R. Jones, Hecke algebra representations of braid groups and link polynomials, Annals of Mathematics (1987), 126.
S. Lambropoulou, Knot theory related to generalized and cyclotomic Hecke algebras of type B, J. Knot Theory Ramif. (1999), 8, No. 5, 621–658. S. Lambropoulou, C.P. Rourke, Markov's theorem in 3-manifolds, Topology and its Appl. (1997), 78.
S. Lambropoulou, Diagrammatic representations of knots and links as closed braids, in Encyclopedia of Knot Theory, C. Adams, E. Flapan, A. Henrich, L.H. Kauffman, L.D. Ludwig, S. Nelson, Eds., 2021, CRC Press, Taylor & Francis Group, LLC.
I. Diamantis, L.H. Kauffman, S. Lambropoulou, Topology and Algebra of Bonded Knots and Braids, Mathematics (2025), 13(20), 3260.