Link invariants of finite type and perturbation theory
โ Scribed by John C. Baez
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 401 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this talk, we review elements of knot theory and knot invariants and their connections with exactly solvable models in statistical mechanics. The generation of knot invariants from vertex models, interaction-round-face models, and spin models with two-spin interactions is elucidated [I]. The exam
## Abstract It is shown that the determination of a unique scaling parameter, based on scaleโinvariant forms for energy in the scaled zeroโorder Hamiltonian approach of Feenberg, is not possible because the higherโorder invariants themselves are nonunique.
We prove that all finite type invariants of ribbon 2-knots are polynomials of the coefficients of the power series expansions at t = 1 of the normalized Alexander polynomials. We completely determine the structure of the algebra of finite type invariants of ribbon 2-knots.