Some combinatorial aspects of movies and movie-moves in the theory of smoothly knotted surfaces in R4

Glenn Lancaster; Richard Larson; Jacob Towber

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Some combinatorial aspects of movies and movie-moves in the theory of smoothly knotted surfaces in R4

Glenn Lancaster·Richard Larson·Jacob Towber

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Abstract

For proper subsets U of {1,2,...,31} we define and construct U-regular isotopy invariants of the Carter-Rieger-Saito movies (representing knotted surfaces) and use these to show that there are ambient isotopic knotted surfaces represented by movies M1 and M2 for which movie-moves of type 31 are required to get from M1 to M2.

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Glenn Lancaster, Richard Larson, Jacob Towber. 2004-12-11. Some combinatorial aspects of movies and movie-moves in the theory of smoothly knotted surfaces in R4. https://arxiv.org/abs/math/0412226

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