Fermat limit and congruence of Ohtsuki invariants
نویسندگان
چکیده
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. AMS Classification 57M99; 57N10, 57M50
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