The index of signature operators on Lipschitz manifolds

@article{Teleman1983TheIO,
  title={The index of signature operators on Lipschitz manifolds},
  author={Nicolae Teleman},
  journal={Publications Math{\'e}matiques de l'Institut des Hautes {\'E}tudes Scientifiques},
  year={1983},
  volume={58},
  pages={39-78}
}
  • Nicolae Teleman
  • Published 1 December 1983
  • Mathematics
  • Publications Mathématiques de l'Institut des Hautes Études Scientifiques
© 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:// www.ihes.fr/IHES/Publications/Publications.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. 
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The paper deals mainly with combinatorial structures; in some cases we need refinements of combinatorial structures. Riemannian metrics are defined on any combinatorial manifold M. The existence ofExpand
On the heat equation and the index theorem
The main error occurs on page 306 where it is implicitly assumed that the coefficients of the two operators A*A and AA* (associated to the signature operator A) are polynomial functions in the gij,Expand
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In this paper the homological K-functor is defined on the category of involutory Banach algebras, and Bott periodicity is proved, along with a series of theorems corresponding to theExpand
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The theory of harmonic integrals was created by Hodge [15], and the theorem which bears his name is the central result of the subject. Kodaira [17] and-independently-de Rham and Bidal [1] used theExpand
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Publisher Summary This chapter presents hyperbolic geometry and homeomorphisms. The idea that Euclidean space Rn can be identified with the interior of the finite ball Bn has been very useful. AExpand
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  • 1975
Geometric Integration Theory, Princeton, 1966. Department of Mathematics, State University of New York at Stony Brook, Stony Brook, New York 11790
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