Abstract
A relation between the Euler characteristics of the Milnorfibres of a real analytic function is derived from a simple identity involvingcomplex monodromy and complex conjugation. A corollary is the result of Costeand Kurdyka that the Euler characteristic of the local link of an irreduciblealgebraic subset of a real algebraic set is generically constant modulo 4. Asimilar relation for iterated Milnor fibres of ordered sets of functions isused to define topological invariants of ordered collections of algebraicsubsets.
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McCRORY, C., PARUSIŃSKI, A. Complex monodromy and the topology of real algebraic sets. Compositio Mathematica 106, 211–233 (1997). https://doi.org/10.1023/A:1000126025773
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DOI: https://doi.org/10.1023/A:1000126025773