Geometry & Topology Monographs 2 (1999) 321–333

DOI: 10.2140/gtm.1999.2.321

arXiv: math.GT/9810147

Abstract

By calculating the Fermat limit of certain q–Fermat functions, we get explicit surgery formulae for the second and third Ohtsuki invariants for homology 3–spheres. The surgery formula of the second Ohtsuki invariant λ₂, combined with an argument using the general theory of finite type invariants of homology 3–spheres, leads to a congruence relation between the first and second Ohtsuki invariants: λ₁= 2λ₂ mod 24.

Keywords

Fermat limit, homology 3–spheres, Ohtsuki invariants

Mathematical Subject Classification

Primary: 57M99

Secondary: 57M50, 57N10

References

Publication

Received: 20 January 1999
Revised: 10 October 1999
Published: 20 November 1999

Authors