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An Equivariant Version of the Euler Obstruction

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Abstract

For a complex analytic variety with an action of a finite group and for an invariant 1-form on it, we give an equivariant version (with values in the Burnside ring of the group) of the local Euler obstruction of the 1-form and describe its relation with the equivariant radial index defined earlier. This leads to equivariant versions of the local Euler obstruction of a complex analytic space and of the global Euler obstruction.

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Correspondence to Wolfgang Ebeling.

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Partially supported by DFG (Mercator fellowship, Eb 102/8-1) and RFBR–16-01-00409.

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Ebeling, W., Gusein-Zade, S.M. An Equivariant Version of the Euler Obstruction. Bull Braz Math Soc, New Series 48, 199–208 (2017). https://doi.org/10.1007/s00574-016-0022-8

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  • DOI: https://doi.org/10.1007/s00574-016-0022-8

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