This article is cited in 11 papers

Adams operations and power structures

E. Gorsky

Moscow State University, Faculty of Mathematics and Mechanics, Department of Higher Geometry and Topology, Moscow, Russia,

Abstract: We study the relations between Adams operation on a lambda-ring and the power structure on it, introduced by S. Gusein-Zade, I. Luengo and A. Melle-Hernández. We give the explicit equations expressing them by each other. An interpretation of the formula of E. Getzler for the equivariant Euler characteristics of configuration spaces is also given.

Key words and phrases: $\lambda$-rings, Adams operations, plethysms, power structures, moduli of curves.

MSC: 55S15, 19L20, 05E05, 14H10

Language: English

DOI: 10.17323/1609-4514-2009-9-2-305-323

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