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•N (p,f=1) k (a= 0,q= 1)(24) which counts lat- ticepathsfrom(0,0)to((2|p|−1)k+2|p|−2,k) lying weakly below the liney= x 2|p|−1

For the negative twist knot familyKp<0 with framingfwe obtained the following results: •N (p,f=0) k (a= 0,q= 1)(23) which counts lattice paths from(0,0)to(2|p|k+ 2|p|−2,k) with

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Double twist knots and lattice paths

math.GT · 2026-05-04 · unverdicted · novelty 5.0

The limit a=0, q=1 of the quiver series for the r-colored HOMFLY-PT polynomials of twist and double twist knots yields explicit lattice path models.

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  • Double twist knots and lattice paths math.GT · 2026-05-04 · unverdicted · none · ref 3

    The limit a=0, q=1 of the quiver series for the r-colored HOMFLY-PT polynomials of twist and double twist knots yields explicit lattice path models.