The embedding space of hexagonal knots

Topology and its Applications

Volumn 112, Issue 2, 2001, Pages 137-174

  Calvo, Jorge Alberto ^a  

^a NORTH DAKOTA STATE UNIVERSITY   (United States)

Author keywords

Knot invariants; Knot spaces; Polygonal knots; Space polygons

Indexed keywords

EID: 0344237819     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(99)00229-1     Document Type: Article

References (12)

1. J.S. Birman, X.S. Lin, Knot polynomials and Vassiliev's invariants, Invent. Math. 111 (1993) 225-270.
2. J.A. Calvo, Geometric knot theory: the classification of spatial polygons with a small number of edges, Ph.D. thesis, University of California, Santa Barbara, CA, 1998.
3. J. Cantarella, H. Johnston, Nontrivial embeddings of polygonal intervals and unknots in 3-space, Preprint, 1998.
4. T. Biedl, E. Demaine, M. Demaine, S. Lazard, A. Lubiw, J. O'Rourke, M. Overmars, S. Robbins, I. Streinu, G. Toussaint, S. Whitesides, Locked and unlocked polygonal chains in 3D, in: Proc. 10th ACM-SIAM Symposium on Discrete Algorithms, 1999.
5. K.C. Millett, Knotting of regular polygons in 3-space, J. Knot Theory Ramifications 3 (3) (1994) 263-278; also in [6, pp. 31-46].
6. K.C. Millett, Knotting of regular polygons in 3-space, J. Knot Theory Ramifications 3 (3) (1994) 263-278; also in [6, pp. 31-46].
7. K.C. Millett, D.W. Sumners (Lds.), Random Knotting and Linking, Series on Knots and Everything, Vol. 7, World Scientific, Singapore, 1994.
8. R. Randell, A molecular conformation space, in: R.C. Lacher (Ed.), MATH/CHEM/COMP 1987. Studies in Physical and Theoretical Chemistry, Vol. 54, Elsevier Science, Amsterdam, 1988. pp. 125-140.
9. R. Randell, Conformation spaces of molecular rings, in: R.C. Lacher (Ed.), MATH/CHEM/ COMP 1987, Studies in Physical and Theoretical Chemistry, Vol. 54, Elsevier Science, Amsterdam, 1988, pp. 141-156.
10. J.K. Simon, Energy functions for polygonal knots, J. Knot Theory Ramifications 3 (3) (1994) 299-320; also in [6, pp. 67-88].
11. J.K. Simon, Energy functions for polygonal knots, J. Knot Theory Ramifications 3 (3) (1994) 299-320; also in [6, pp. 67-88].
12. V.A. Vassiliev, Complements of Discriminants of Smooth Maps: Topology and Applications, Translations of Mathematical Monographs, Vol. 98, American Mathematical Society, Providence, RI, 1992.