Tangles and the Gromov invariant
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- by Colin C. Adams PDF
- Proc. Amer. Math. Soc. 106 (1989), 269-271 Request permission
Abstract:
Previous results about mutant knots are extended to show that the Gromov invariant of a knot or link is preserved when a chain of tangles which make up the knot or link is permuted.References
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- W. B. R. Lickorish and K. C. Millett, The new polynomial invariants of knots and links, Math. Mag. 61 (1988), no. 1, 3–23. MR 934822, DOI 10.2307/2690324
- Daniel Ruberman, Mutation and volumes of knots in $S^3$, Invent. Math. 90 (1987), no. 1, 189–215. MR 906585, DOI 10.1007/BF01389038
- Teruhiko Soma, The Gromov invariant of links, Invent. Math. 64 (1981), no. 3, 445–454. MR 632984, DOI 10.1007/BF01389276 W. Thurston, The geometry and topology of $3$-manifolds, notes, Princeton University, 1978. J. Weeks, Hyperbolic structures on three-manifolds, Ph.D. dissertation, Princeton University, 1985.
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 269-271
- MSC: Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-1989-0964451-4
- MathSciNet review: 964451