Complex monodromy and the topology of real algebraic sets

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We study the Euler characteristic of the real Milnor fibres of a real analytic map, using a relation between complex monodromy and complex conjugation. We deduce the result of Coste and Kurdyka that the Euler characteristic of the link of an irreducible algebraic subset of a real algebraic set is generically constant modulo 4. We generalize this result to iterated links of ordered families of algebraic subsets.
17 pages, AMSppt, University of Sydney Pure Mathematics Research Reports (1994)

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