Add to ORKGthis paper the analogy is applied to explain the relationship between the Seifert forms over a ring with involution A and Blanchfield forms over the Laurent polynomial extension A[z, z ]. The rings A and A[z, z ] correspond to the two ways of associating algebraic invariants to an n-knot k : S with A = Z : (i) The Z[z, z ]-module invariants of the canonical infinite cyclic cover M = R of the exterior of k = cl.(S with k(S ) D a regular neighbourhood of k(S ) in S , p : a map inducing an isomorphism p : H (S = H (M), and #M = S . (ii) The Z-module invariants of a codimension 1 submanifold N with boundary #N = k(S i.e. a Seifert surface for
In this paper I shall show how certain bounds on the possible diagrams presenting a given oriented k...
A Seifert surface for a knot in ℝ³ is a compact orientable surface whose boundary is the knot. Seife...
Abstract. We provide a translation between Chekanov’s combinatorial theory for invari-ants of Legend...
Novikov initiated the study of the algebraic properties of quadratic forms over polynomial extension...
It is well known that the Blanchfield pairing of a knot can be expressed using Seifert matrices. In ...
En este documento, explicaremos algunos elementos de la teoría de nudos, iniciando con nociones bási...
We calculate Blanchfield pairings of 3-manifolds. In particular, we give a formula for the Blanchfie...
The classification of high-dimensional μ–component boundary links motivates decomposition theorems f...
. The surgery theory of Browder, Lashof and Shaneson reduces the study of high-dimensional smooth kn...
Abstract. We extend knot contact homology to a theory over the ring Z[λ±1, µ±1], with the invariant ...
We calculate homological blocks for a knot in Seifert manifolds from the Chern-Simons partition func...
Recently Kearton showed that any Seifert matrix of a knot is S-equivalent to the Seifert matrix of a...
Knot theory and arithmetic invariant theory are two fields of mathematics that rely on algebraic inv...
AbstractWe introduce new polynomial invariants of a finite-dimensional semisimple and cosemisimple H...
In 1992, Osamu Kakimizu defined a complex that has become known as the Kakimizu complex of ...
In this paper I shall show how certain bounds on the possible diagrams presenting a given oriented k...
A Seifert surface for a knot in ℝ³ is a compact orientable surface whose boundary is the knot. Seife...
Abstract. We provide a translation between Chekanov’s combinatorial theory for invari-ants of Legend...
Novikov initiated the study of the algebraic properties of quadratic forms over polynomial extension...
It is well known that the Blanchfield pairing of a knot can be expressed using Seifert matrices. In ...
En este documento, explicaremos algunos elementos de la teoría de nudos, iniciando con nociones bási...
We calculate Blanchfield pairings of 3-manifolds. In particular, we give a formula for the Blanchfie...
The classification of high-dimensional μ–component boundary links motivates decomposition theorems f...
. The surgery theory of Browder, Lashof and Shaneson reduces the study of high-dimensional smooth kn...
Abstract. We extend knot contact homology to a theory over the ring Z[λ±1, µ±1], with the invariant ...
We calculate homological blocks for a knot in Seifert manifolds from the Chern-Simons partition func...
Recently Kearton showed that any Seifert matrix of a knot is S-equivalent to the Seifert matrix of a...
Knot theory and arithmetic invariant theory are two fields of mathematics that rely on algebraic inv...
AbstractWe introduce new polynomial invariants of a finite-dimensional semisimple and cosemisimple H...
In 1992, Osamu Kakimizu defined a complex that has become known as the Kakimizu complex of ...
In this paper I shall show how certain bounds on the possible diagrams presenting a given oriented k...
A Seifert surface for a knot in ℝ³ is a compact orientable surface whose boundary is the knot. Seife...
Abstract. We provide a translation between Chekanov’s combinatorial theory for invari-ants of Legend...