Combinatorial hodge theory and signature operator

  title={Combinatorial hodge theory and signature operator},
  author={Nicolae Teleman},
  journal={Inventiones mathematicae},
This paper represents an detailed version of our paper [12] presented at the Hawaii Conference on the Geometry of the Laplace Operator, March 1979. In this paper we present the solution to the following problem posed by Singer in [8], w 4, concerning elliptical operators on PL-maifolds: "If M is a PL-manifold, the L-polynomials are still well defined (Thom [13]) from which one can still define the rational Pontrjagin classes. The Hirzebruch signature theorem still holds. Is there an associated… Expand
Index Theorems in Differential Geometry
  • Neculai S. Teleman
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  • 2019
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Spaces, Bundles and Characteristic Classes in Differential Geometry
  • Neculai S. Teleman
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  • From Differential Geometry to Non-commutative Geometry and Topology
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Part II prepares the reader to see how some of the basic notions of differential geometry pass into non-commutative geometry. The basic notions presented in the first chapter are reconsidered in theExpand
The index of signature operators on Lipschitz manifolds
© Publications mathématiques de l’I.H.É.S., 1983, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://Expand
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