6 papers
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Withdrawn by the author in favour of math.GT/0511602
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.
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This paper has been withdrawn because its contents have become subsumed in Section 5.2 of arXiv:0805.2307.
Acyclic Jacobi Diagrams
Daniel Moskovich
We propose a simple new combinatorial model to study spaces of acyclic Jacobi diagrams, in which they are identified with algebras of words modulo operations. This provides a start…
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…
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…