研究会「ハンドル体結び目とその周辺 12 」

Therefore Corollary 2.3 tells us that only the dihedral quandle is useful in Alexander quandles of prime order for the study of quandle cocycle invariants of 1-knots and 2-knots..

In this context, the Fundamental Theorem of the Invariant Theory is proved, a notion of basis of the rings of invariants is introduced, and a generalization of Hilbert’s

In my earlier paper [H07] and in my talk at the workshop on “Arithmetic Algebraic Geometry” at RIMS in September 2006, we made explicit a conjec- tural formula of the L -invariant

This applies to the case where the induced action 1 ϕ acts transitively on the base manifold and states that each point in the bundle gives rise to a bijection between the set

We study the classical invariant theory of the B´ ezoutiant R(A, B) of a pair of binary forms A, B.. We also describe a ‘generic reduc- tion formula’ which recovers B from R(A, B)

Key words and phrases: Quasianalytic ultradistributions; Convolution of ultradistributions; Translation-invariant Banach space of ultradistribu- tions; Tempered

(See [7] for a theory of the rationality of the Kontsevich integral of a knot or a boundary link.) It observes a generalisation of Casson’s formula (Equation 1) of the following

Khovanov associated to each local move on a link diagram a homomorphism between the homology groups of its source and target diagrams.. In this section we describe how this