HOMFLY2mirror: Convert the HOMFLY polynomial of a knot into the polynomial...

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

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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

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## 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.