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- W1888395788 abstract "We introduce two invariants for transversely holomorphic foliations on 3-manifolds: a complex analogue of the classical Godbillon-Vey invariant, and a logarithmic monodromy of closed leaves. The complex Godbillon-Vey invariant allows us to formulate a generalised Gau{ss}-Bonnet theorem. We compute these invariants for the Poincar'e foliations on the 3-sphere and derive rigidity statements, including a uniformisation theorem for orbifolds. These results are then applied to the classification of taut contact circles, which are special instances of transversely holomorphic foliations." @default.
- W1888395788 created "2016-06-24" @default.
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- W1888395788 date "2015-10-29" @default.
- W1888395788 modified "2023-10-16" @default.
- W1888395788 title "Invariants and topology of transversely holomorphic flows on 3-manifolds" @default.
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