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
Power series link invariants and the Thurston norm
โ Scribed by Efstratia Kalfagianni
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 117 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
โฆ Synopsis
We generalize a result of Scharlemann and Thompson (1989) to obtain a relation between the Thurston norms of links related by "skein moves", in irreducible homology 3-spheres. Then we apply this result to the study of "skein trees" of links and we formulate an obstruction to the convergence of the HOMFLY power series link invariants constructed by Kalfagianni and Lin (1998).
๐ SIMILAR VOLUMES
Let h : (A, weak) โ (B, weak) be a homeomorphism where A and B are arbitrary subsets of (possibly different) Banach spaces. Then any property that holds for (B, norm) whenever it holds for (A, norm) is said to be a weak-invariant of the norm topology. We show that, relative to the norm topologies on
In this paper we show that where T โ B(H), ||| โข ||| is a semi-norm on B(H) which satisfies some conditions, T = UP (polar decomposition), 0 ฮป 1 and f is a polynomial. As a consequence of this fact, we will show that some semi-norms ||| โข ||| including the ฯ-radii (0 < ฯ 2) satisfy the inequality |