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- W1964041025 abstract "New exotic invariants for measured foliations are constructed, which we call the $mu$-classes of a pair $(mathcal {F},mu )$. The dependence of the $mu$-classes on the geometry of the foliation $mathcal {F}$ is examined, and the dynamics of a foliation is shown to determine the $mu$-classes in many cases. We use the $mu$-classes to study the classifying space $B{Gamma _{S{L_q}}}$ of foliations with a transverse invariant volume form, and we show the homotopy groups of $B{Gamma _{S{L_q}}}$ are uncountably generated starting in degrees $q + 3$. New invariants for groups of volume preserving diffeomorphisms also arise from the $mu$-classes; these invariants are nontrivial and related to the geometric aspects of the group action. Relations between the $mu$-classes and the secondary classes of a foliation are exhibited." @default.
- W1964041025 created "2016-06-24" @default.
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- W1964041025 date "1983-01-01" @default.
- W1964041025 modified "2023-09-25" @default.
- W1964041025 title "Global invariants for measured foliations" @default.
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- W1964041025 doi "https://doi.org/10.1090/s0002-9947-1983-0712266-3" @default.
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