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2026 - T1 - WS2 - Bridging visualization and understanding in Geometry and Topology

Collection 2026 - T1 - WS2 - Bridging visualization and understanding in Geometry and Topology

Organizer(s) Abrams, Aarons ; Borrelli, Vincent ; Coulon, Rémi ; Lazarus, Francis ; Matsumoto, Sabetta
Date(s) 16/02/2026 - 20/02/2026
linked URL https://indico.math.cnrs.fr/event/13125/
9 12

Some instances where topological illustration induced new mathematics

By Sofia Lambropoulou

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

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)

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.

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