Some instances where topological illustration induced new mathematics

Appears in 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.

Information about the video

Date of recording 19/02/2026
Date of publication 24/02/2026
Institution IHP
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students, Students
Director(s) Service audiovisuel de l'IHP
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2026.T1.WS2.011
Cite this video 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

Domain(s)

Geometric Topology

Bibliography

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.