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arxiv: 0907.0801 · v2 · submitted 2009-07-04 · 🧮 math.DG

The A.P.S. signature formula for measured foliations

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keywords signatureboundaryformulaanalyticalcoincidedefinefoliatedfoliation
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We define the Analytical signature, the Hodge signature and the de Rham signature for a foliated manifold with boundary with foliation transverse to the boundary. We show that all these signatures coincide and a Hirzebruch formula is valid.

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