1999•Journal of Knot Theory and Its RamificationsRequires access

A TYPE 2 POLYNOMIAL INVARIANT OF LINKS DERIVED FROM THE CASSON-WALKER INVARIANT

Jeff Johannes

Abstract

Simple formulas involving only linking numbers and surgery coefficients are presented for computing how the Casson-Walker invariant changes under crossing changes in a framed link presenting a 3-manifold. These formulas greatly simplify computations of the Casson-Walker invariant and can be used to define a type two polynomial invariant of unframed links.

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Key concepts: Mathematics, Invariant (physics), Invariant polynomial, Pure mathematics, Computation, Finite type invariant, Polynomial, Discrete mathematics