Localizing the Donaldson-Futaki invariant
Éveline Legendre (Université Paul Sabatier)
Abstract: We will see how to represent the Donaldson-Futaki invariant as an intersection of equivariant closed forms. We will use it to express this invariant as the intersection on some specific subvarieties of the central fibre of the test configuration. As an application we provide a proof that for Kähler orbifolds the Donaldson-Futaki invariant is the Futaki invariant of the central fiber.
algebraic geometrydifferential geometrysymplectic geometry
Audience: researchers in the topic
( video )
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Organizers: | Jose Mourao*, Rosa Sena Dias, Sílvia Anjos* |
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