Results 1 
6 of
6
Signatures Of Links And Finite Type Invariants Of Cyclic Branched Covers
, 1997
"... Recently, Mullins calculated the CassonWalker invariant of the 2fold cyclic branched cover of an oriented link in S³ in terms of its Jones polynomial and its signature, under the assumption that the 2fold branched cover is a rational homology 3sphere. Using elementary principles, we provide a ..."
Abstract

Cited by 7 (3 self)
 Add to MetaCart
Recently, Mullins calculated the CassonWalker invariant of the 2fold cyclic branched cover of an oriented link in S³ in terms of its Jones polynomial and its signature, under the assumption that the 2fold branched cover is a rational homology 3sphere. Using elementary principles, we provide a similar calculation for the general case. In addition, we calculate the LMO invariant of the pfold branched cover of twisted knots in S³ in terms of the Kontsevich integral of the knot.
Surgery formulae for finite type invariants of rational homology 3spheres
"... We first present four graphic surgery formulae for the degree n part Zn of the KontsevichKuperbergThurston universal finite type invariant of rational homology spheres. Each of these four formulae determines an alternate sum of the form ..."
Abstract

Cited by 4 (2 self)
 Add to MetaCart
(Show Context)
We first present four graphic surgery formulae for the degree n part Zn of the KontsevichKuperbergThurston universal finite type invariant of rational homology spheres. Each of these four formulae determines an alternate sum of the form
A Reappearence of Wheels
, 1997
"... . Recently, a number of authors [KS, Oh2, Ro] have independently shown that the universal finite type invariant of rational homology 3spheres on the level of sl 2 can be recovered from the ReshetikhinTuraev sl 2 invariant. An important role in Ohtsuki's proof [Oh3] plays a map j 1 (which join ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
. Recently, a number of authors [KS, Oh2, Ro] have independently shown that the universal finite type invariant of rational homology 3spheres on the level of sl 2 can be recovered from the ReshetikhinTuraev sl 2 invariant. An important role in Ohtsuki's proof [Oh3] plays a map j 1 (which joins the legs of 2legged chinese characters) and its relation to a map ff in terms of a power series (on the level of sl 2 ). The purpose of the present note is to give a universal formula of the map ff in terms of a power series F of wheel chinese characters. The above formula is similar to universal formulas of wheel chinese characters considered in [BGRT1] and leads to a simple conceptual proof of the above mentioned relation between the maps j 1 and ff on the level of sl 2 . Contents 1. Introduction 1 1.1. History 1 1.2. Statement of the results 2 1.3. Some Questions 3 1.4. Acknowledgment 4 2. Proofs 4 2.1. Proof of Proposition 1.3 4 2.2. Proof of Proposition 1.2 5 References 7 1. Introduction...