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28. Januar 2018 - 1 neuer Link
Introduction to Knot Theory (Lecture by Gandalf Lechner) 
Beschreibung: Introduction to Knot Theory (Lecture by Gandalf Lechner, autumn 2015 at Cardiff University, School of Mathematics)

Lecture 1: Introduction, geometrical knots
Lecture 2: Topological knots/links and link invariants
Lecture 3: Link diagrams
Lecture 4: Reidemeister moves
Lecture 5: Reidemeister’s Theorem. 3-Colourability
Lecture 6: 3-Colourability and p-Colourability
Lecture 7: The determinant of a link
Lecture 8: The Alexander Polynomial
Lecture 9: The Colouring Group
Lecture 10: The Bracket Polynomial
Lecture 11: The Kauffman Bracket
Lecture 12: The normalized bracket polynomial
Lecture 13: The Jones polynomial
Lecture 14: Composite and prime knots
Lecture 15: The HOMFLY and Conway polynomials
Lecture 16: Graphical calculus for matrices
Lecture 17: Matrices and link diagrams
Lecture 18: The partition function
Lecture 19: A matrix model for the Kauffman bracket
Lecture 20: The braid group
Lecture 21: Alexander’s and Markov’s Theorems
Lecture 22: The Jones polynomial and the braid group

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Kategorie: Mathematik /

 
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