𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Finite type invariants of ribbon 2-knots, II

✍ Scribed by Kazuo Habiro; Akiko Shima

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
330 KB
Volume
111
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Invariants of 2Γ—2-Matrices over Finite F
Invariants of 2Γ—2-Matrices over Finite Fields
✍ Larry Smith πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 114 KB

Let F q be the finite field with q elements, q ΒΌ p n ; p 2 N a prime, and Mat 2:2 Γ°F q Þ the vector space of 2 Γ‚ 2-matrices over F. The group GLΓ°2; FÞ acts on Mat 2;2 Γ°F q Þ by conjugation. In this note, we determine the invariants of this action. In contrast to the case of an infinite field, where

Finite-dimensional representations of in
Finite-dimensional representations of invariant differential operators, II
✍ Gerald W. Schwarz πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 97 KB

In Part I of this paper [G.W. Schwarz, Finite-dimensional representations of invariant differential operators, J. Algebra 258 (2002) 160-204] we considered the representation theory of the algebra B := D(g) G , where G = SL 3 (C) and D(g) G denotes the algebra of G-invariant polynomial differential