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arXiv · 2006.08987

Localizing the Donaldson-Futaki invariant

Eveline Legendre
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Abstract

We use the equivariant localization formula to prove that the Donaldson-Futaki invariant of a compact smooth (K{\"a}hler) test configuration coincides with the Futaki invariant of the induced action on the central fiber when this fiber is smooth or have orbifold singularities. We also localize the Donaldson-Futaki invariant of the deformation to the normal cone.

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Eveline Legendre. 2020-06-16. Localizing the Donaldson-Futaki invariant. https://arxiv.org/abs/2006.08987

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