On a banded link presentation of knotted surfaces

Michał Jabłonowski


We will discuss a method for visual presentation of knotted surfaces in the four space, by examining a number and a position of its Morse’s critical points. Using this method, we will investigate surface-knot with one critical point of index 1. Then we show infinitely many mutually distinct surface-knots that have an embedding with two critical points of index 1. Next we define a long flat form of a banded link for any surface-knot and show diagrammatically a long flat form of n-twist-spun (2,t)-torus knots.
Author Michał Jabłonowski IM
Michał Jabłonowski,,
- Institute of Mathematics
Journal seriesJournal of Knot Theory and Its Ramifications, ISSN 0218-2165
Issue year2016
Publication size in sheets0.5
Keywords in Englishknotted surfaces, diagrams, moves, banded link, flat form
Languageen angielski
Score (nominal)20
ScoreMinisterial score = 20.0, 20-12-2017, ArticleFromJournal
Ministerial score (2013-2016) = 20.0, 20-12-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.363 (2) - 2016=0.453 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.