New invariants show stronger virtual knot sets.
problem Classifying virtual knots using invariants.
method Defining -order invariants using forbidden moves.
result Set of -order invariants is strictly stronger.
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3 results for “F-order”
The paper introduces a new filtration for knot invariants and proves the existence of nontrivial knots.
problem The existence of nontrivial knots with specific invariant properties.
method Definition of F-order and n-triviality via virtualization and forbidden moves.
result Existence of infinitely many nontrivial classical knots and a nontrivial virtual knot with specific invariant properties.
We discuss analogues of the prime number theorem for a hyperbolic rational map f of degree at least two on the Riemann sphere. More precisely, we provide counting estimates for the number of primitive periodic orbits of f ordered by their multiplier, and also obtain equidistribution of the associated holonomies; both e…