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This article proves the laundry embedding theorem. It considers surface triples (S,G,J) in S 3 where S is a 2-manifold with boundary, G is a circle-with-chords, and J is an arc. The surfaces satisfy an embedding condition called laundry which is similar to being unknotted. The theorem gives elementary necessary and sufficient conditions for two triples to be equivalent by ambient isotopy. The theorem introduces a new topological invariant called turn. The surfaces of interest can arise from the augmented ribbon model of unknotted single domain protein.
Keywordssurface linking protein
AMS subject classification57M25 57M15 92C40
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- 3.Lickorish W.B.R. (1997). An Introduction to Knot Theory, Grad. Texts in Math., vol. 175. Springer, New YorkGoogle Scholar
- 4.S. Naik and Stanford T., arXiv.math.GT/9911005 (1999).Google Scholar
- 5.Rushing T.B. (1973). Topological Embeddings, Pure and Applied Math., vol. 52 Academic Press, New YorkGoogle Scholar
- 6.Rourke C.P., and Sanderson B.J. (1982). Introduction to Piecewise-linear Topology. Springer, New YorkGoogle Scholar
- 7.Rolfsen D. (1976). Knots and Links. Publish or Perish, BerkeleyGoogle Scholar
- 9.Suzuki S. (1977). Canad. J. Math. 29:111–124Google Scholar
- 10.Nicholson V. (1995). Graph Theory, Combinatorics, and Applications. Wiley, New York, pp. 833–838Google Scholar