Fermat limit and congruence of Ohtsuki invariants
Geometric Topology
2007-05-23 v2 Quantum Algebra
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 \lambda _2, 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: \lambda _1=2\lambda _2 mod 24.
Keywords
Cite
@article{arxiv.math/9810147,
title = {Fermat limit and congruence of Ohtsuki invariants},
author = {Xiao-Song Lin and Zhenghan Wang},
journal= {arXiv preprint arXiv:math/9810147},
year = {2007}
}
Comments
13 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper17.abs.html