Abstract
In this article, we introduce the homology group of the dynamical trefoil knot. Also the homology group of the limit dynamical trefoil knot will be achieved. The knot group of the limit dynamical sheeted trefoil knot is presented. The dynamical trefoil knots of variation curvature and torsion of manifolds on their homology groups are deduced. Theorems governing these relations are obtained.
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