Integration with respect to the Euler characteristic and its applications

S. M. Gusein-Zade

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 65 (2010) no. 3, pp. 399-432

Résumé

The notion of integration with respect to the Euler characteristic and its generalizations are discussed: integration over the infinite-dimensional spaces of arcs and functions, motivic integration. The author describes applications of these notions to the computation of monodromy zeta functions, Poincaré series of multi-index filtrations, generating series of classes of certain moduli spaces, and so on. Bibliography: 70 titles.

Détail

Keywords: Euler characteristic, motivic integration.

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