HOMFLY2mirror: Convert the HOMFLY polynomial of a knot into the polynomial...
In FedericoComoglio/Rknots: Topological Analysis of Knotted Proteins, Biopolymers and 3D Structures
Description
Usage
Arguments
Author(s)
References
See Also
Examples
View source: R/polyConversion.R
Description
The HOMFLY polynomial of the mirror image of a knot is computed by substituting
l = -l^-1
Usage
1
HOMFLY2mirror(HOMFLY)
Arguments
HOMFLY
a single element character vector containing the HOMFLY polynomial
Author(s)
Federico Comoglio, federico.comoglio@bsse.ethz.ch
Maurizio Rinaldi, maurizio.rinaldi@pharm.unipmn.it
References
Freyd P, Yetter D, Hoste J, Lickorish WBR, Millett K, et al.
(1985) A new polynomial invariant of knots and links. Bull Amer Math Soc (NS) 12: 239-246.
Kauffman, L. Knots and Physics. Teaneck, NJ: World Scientific, p. 19, 1991.
See Also
HOMFLYpolynomial,
HOMFLY2Alexander,
HOMFLY2Jones
Examples
1
2
3
4
5
6
## Not run:
##convert the right-handed trefoil knot polynomial into the left-handed trefoil polynomial
HOMFLY.trefoil <- "-1/l**4 + 2/l**2 + m**2/l**2"
HOMFLY2mirror(HOMFLY.trefoil)
## End(Not run)
FedericoComoglio/Rknots documentation built on May 6, 2019, 4:35 p.m.
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Description Usage Arguments Author(s) References See Also Examples
View source: R/polyConversion.R
Description
The HOMFLY polynomial of the mirror image of a knot is computed by substituting
l = -l^-1
Usage
1 | HOMFLY2mirror(HOMFLY)
|
Arguments
HOMFLY |
a single element character vector containing the HOMFLY polynomial |
Author(s)
Federico Comoglio, federico.comoglio@bsse.ethz.ch
Maurizio Rinaldi, maurizio.rinaldi@pharm.unipmn.it
References
Freyd P, Yetter D, Hoste J, Lickorish WBR, Millett K, et al. (1985) A new polynomial invariant of knots and links. Bull Amer Math Soc (NS) 12: 239-246.
Kauffman, L. Knots and Physics. Teaneck, NJ: World Scientific, p. 19, 1991.
See Also
HOMFLYpolynomial,
HOMFLY2Alexander,
HOMFLY2Jones
Examples
1 2 3 4 5 6 | ## Not run:
##convert the right-handed trefoil knot polynomial into the left-handed trefoil polynomial
HOMFLY.trefoil <- "-1/l**4 + 2/l**2 + m**2/l**2"
HOMFLY2mirror(HOMFLY.trefoil)
## End(Not run)
|
R Package Documentation
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We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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