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The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations

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Publication:1234110
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DOI10.1016/0040-9383(76)90007-0zbMath0347.57009OpenAlexW2069773776MaRDI QIDQ1234110

Dmitry Fuchs, Israel M. Gel'fand, Andrei Gabrielov

Publication date: 1976

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(76)90007-0


Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Global Riemannian geometry, including pinching (53C20) Foliations in differential topology; geometric theory (57R30)


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Sur l'invariance topologique de la classe de Godbillon-Vey. (On the topological invariance of the Godbillon-Vey class.), Rationality of geometric signatures of complete 4-manifolds, Conservation laws of free Klein Gordon fields, Quadratic Poisson algebras and their infinite-dimensional extensions, Foliations, Lie completion of pseudo-groups, Differential invariant algebras of Lie pseudo-groups, The Nishimori decompositions of codimension-one foliations and the Godbillon-Vey classes, The existence of polarized \(F\)-structures on volume collapsed 4- manifolds



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