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On an equivariant version of the zeta function of a transformation - MaRDI portal

On an equivariant version of the zeta function of a transformation (Q493638)

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On an equivariant version of the zeta function of a transformation
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    On an equivariant version of the zeta function of a transformation (English)
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    3 September 2015
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    Let \(G\) be a finite group, \(X\) a conveniently good topological space (e.g., a quasiprojective complex or real variety) with a \(G\)-action and \(\phi:X\to X\) be a \(G\)-equivariant proper map. Using another approach to the definition of the equivariant Lefschetz number, the authors define an equivariant version of the zeta function of \(\phi\). This is a power series with coefficients from the Burnside ring. They establish an A'Campo type formula for the equivariant monodromy zeta function.
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    zeta function
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    equivariant Lefschetz number
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    Burnside ring
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