Topology Seminar- Triple-crossing diagrams of knots.

Greater Washington Topology Seminar

The following is a list of confirmed speakers and dates for the Greater (George) Washington Topology Seminar seminar: 

1. March 5, 2021: Maciej Mroczkowski (University of Gdańsk)

2. March 12, 2021: Victoria Lebed (Université de Caen - Normandie )

3. March 26, 2021: Dirk Schütz (University of Durham)

4. April 2, 2021: Peter Samuelson (University of California, Riverside)

5. April 9, 2021: Krzysztof Putyra (Universität Zürich)

6. April 16, 2021: Michal Jablonowski (University of Gdańsk)

7. April 23, 2021: Nathan Geer (Utah State University)

8. April 30, 2021: Joseph Boninger (CUNY)

9. May 7, 2021: William Goldman (University of Maryland, College Park) 

10. May 14, 2021: Wade Bloomquist (Georgia Tech)


The next talk will be by Michal Jablonowski and will take place on April 16, 2021 from 1:00pm to 2:00pm EDT. 

Title: Triple-crossing diagrams of knots.

Abstract: We present a systematic method to generate prime knot and prime link minimal triple-point projections. We then extend the classification of knots by the triple-crossing number. By introducing a new type of diagrammatic move and derive a minimal generating set of moves connecting triple-crossing diagrams of the same knot. We show that the triple-crossing number of any knot is greater or equal to twice its (canonical) genus. As an application, we show that this bound is strong enough to obtain the triple-crossing numbers of torus knots, and generally all positive-braid knots and their connected sums.

The Zoom information is listed below: 

Topic: GW Topology Seminar 

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