On a banded link presentation of knotted surfaces
AbstractWe 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.
|Journal series||Journal of Knot Theory and Its Ramifications, ISSN 0218-2165|
|Publication size in sheets||0.5|
|Keywords in English||knotted surfaces, diagrams, moves, banded link, flat form|
|Score|| = 20.0, 20-12-2017, ArticleFromJournal|
= 20.0, 20-12-2017, ArticleFromJournal
|Publication indicators||: 2016 = 0.363 (2) - 2016=0.453 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.