Algebraic Invariants in Knot Theory - NMAG458
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (10.12.2018)
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Last update: doc. RNDr. David Stanovský, Ph.D. (22.09.2023)
Kunio Murasugi, Knot Theory and Its Applications, Birkhauser 1996
Andrei Sossinsky, Knots, Links and Their Invariants, AMS 2023.
Weiping Li, Lecture Notes on Knot Invariants, World Scientific 2015
Colin Adams, The knot book, Amer. Math. Soc., 2004. |
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Last update: doc. RNDr. David Stanovský, Ph.D. (24.02.2021)
Oral exam will test topics covered by the course. For details, see the website. |
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Last update: doc. RNDr. David Stanovský, Ph.D. (22.09.2023)
Fundamental concepts of knot theory: equivalence, Reidemeister moves, basic invariants. Coloring invariants. Seifert surfaces, Alexander polynomial. Skein relations, Conway and Jones polynomial. Braid groups. Vassiliev invariants.
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (14.05.2020)
Basics of general algebra. |