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A surgery formula for the discrete Godbillon-Vey invariant. (English) Zbl 1062.57034

Summary: Transversely piecewise linear foliations of codimension one on closed 3-manifolds are deformed by surgery. We show surgery formula for the discrete Godbillon-Vey invariant of these foliations.

MSC:

57R30 Foliations in differential topology; geometric theory
57R20 Characteristic classes and numbers in differential topology
57N10 Topology of general \(3\)-manifolds (MSC2010)
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