%0 Journal Article
%T Borromean surgery formula for the Casson invariant
%A Jean-Baptiste Meilhan
%J Mathematics
%D 2005
%I arXiv
%X It is known that every oriented integral homology 3-sphere can be obtained from S^3 by a finite sequence of Borromean surgeries. We give an explicit formula for the variation of the Casson invariant under such a surgery move. The formula involves simple classical invariants, namely the framing, linking number and Milnor's triple linking number. A more general statement, for n independent Borromean surgeries, is also provided, which involves an additional cubic expression in some linking numbers of the surgery link.
%U http://arxiv.org/abs/math/0509335v3