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math.GT2005

Triviality of the Odd-Degree Part of the Space of Three-Loop Finite-Type Invariants

Daniel Moskovich

Withdrawn by the author in favour of math.GT/0511602

math.GT2005

Vanishing of 3-Loop Jacobi Diagrams of Odd Degree

Daniel Moskovich, Tomotada Ohtsuki

We prove the vanishing of the space of 3-loop Jacobi diagrams of odd degree. This implies that no 3-loop finite-type invariant can distinguish between a knot and its inverse.

math.GT2005

Surgery Description of Orientation-Preserving -Actions on Compact Orientable 3-Manifolds

Daniel Moskovich

This paper has been withdrawn because its contents have become subsumed in Section 5.2 of arXiv:0805.2307.

math.GT2005

Surgery untying of coloured knots

Daniel Moskovich

For p=3 and for p=5 we prove that there are exactly p equivalence classes of p-coloured knots modulo (+/-1)--framed surgeries along unknots in the kernel of a p-colouring. These eq…

math.GT2002

Framing and the Self-Linking Integral

Daniel Moskovich

The Gauss self-linking integral of an unframed knot is not a knot invariant, but it can be turned into an invariant by adding a correction term which requires adding extra structur…