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

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

2004-12-11

arxiv.org/abs/math/0412226v1

Mathematics

Geometric Topology

Submitted to Contemporary Math, subseries of Israel Math. Conf., Proceedings of July 5-12 Haifa Conference on Quantum Groups

Scientific paper

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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