$W$-volume in anti-de Sitter space

By Jérémy Toulisse

Appears in collection : 2025 - T2 - WS1 - Higher rank geometric structures, Higgs bundles and physics

Motivated by work of Krasnov and Schlenker on the renormalized volume of hyperbolic 3-manifolds, we construct a Lorentzian version of the theory. This defines a (possibly infinite) invariant of positive curves in flag varieties. This is joint work with François Labourie and Yilin Wang.

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