The index of signature operators on Lipschitz manifolds

Nicolae Teleman

Publications Mathématiques de l'IHÉS (1983)

  • Volume: 58, page 39-78
  • ISSN: 0073-8301

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Teleman, Nicolae. "The index of signature operators on Lipschitz manifolds." Publications Mathématiques de l'IHÉS 58 (1983): 39-78. <http://eudml.org/doc/103993>.

@article{Teleman1983,
author = {Teleman, Nicolae},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {topological 4-manifold; ZFM 531.58045; rational Pontryagin classes; Lipschitz structure; Atiyah-Singer index theorem},
language = {eng},
pages = {39-78},
publisher = {Institut des Hautes Études Scientifiques},
title = {The index of signature operators on Lipschitz manifolds},
url = {http://eudml.org/doc/103993},
volume = {58},
year = {1983},
}

TY - JOUR
AU - Teleman, Nicolae
TI - The index of signature operators on Lipschitz manifolds
JO - Publications Mathématiques de l'IHÉS
PY - 1983
PB - Institut des Hautes Études Scientifiques
VL - 58
SP - 39
EP - 78
LA - eng
KW - topological 4-manifold; ZFM 531.58045; rational Pontryagin classes; Lipschitz structure; Atiyah-Singer index theorem
UR - http://eudml.org/doc/103993
ER -

References

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  1. [1] M. F. ATIYAH, R. BOTT, V. K. PATODI, On the heat equation and the Index Theorem, Inventiones Math. 19. (1973), 279-330. Zbl0257.58008MR58 #31287
  2. [2] M. F. ATIYAH, I. M. SINGER, The Index of Elliptic Operators, Part I, Annals of Math. 87 (1968), 484-530. Zbl0164.24001MR38 #5243
  3. [3] M. F. ATIYAH, I. M. SINGER, The Index of Elliptic Operators, Part III, Annals of Math. 87 (1968), 546-604. Zbl0164.24301MR38 #5245
  4. [4] J. CHEEGER, On the Hodge theory of Riemannian Pseudo-manifolds, Proc. Symp. Pure Math. 36 (1980), 91-146. Zbl0461.58002MR83a:58081
  5. [5] J. DODZIUK, De Rham-Hodge theory for L2-cohomology of infinite coverings, Topology 15 (1977), 157-165. Zbl0348.58001MR56 #3898
  6. [6] G. FICHERA, Teoria assiomatica delle forme armoniche, Rendiconti di Matem. 20 (1961), 147-171. Zbl0116.07601MR25 #3547
  7. [7] M. GAFFNEY, Hilbert space methods in the theory of Harmonic Integrals, Trans. Amer. Math. Soc. 78 (1955), 426-444. Zbl0064.34303MR16,957a
  8. [8] G. G. KASPAROV, Topological Invariants of Elliptic Operators, I: K-homology, Math. U.S.S.R. Izvestija (English Transl.) 9 (1975), 751-792. Zbl0337.58006MR58 #7603
  9. [9] I. M. SINGER, Future Extensions of Index Theory and Elliptic Operators, in Prospects in Mathematics, Annals Math. Studies 70, Princeton (1971), 171-185. Zbl0247.58011MR49 #8061
  10. [10] D. SULLIVAN, Hyperbolic geometry and Homeomorphisms, in Geometric Topology, Proc. Georgia Topology Conf. Athens, Georgia 1977, 543-555, ed. J. C. Cantrell, Academic Press, 1979. Zbl0478.57007
  11. [11] N. TELEMAN, Global Analysis on P. L. Manifolds, M.I.T. Ph. D. Thesis, 1977. Zbl0448.57007
  12. [12] N. TELEMAN, Global Analysis on P. L. Manifolds, Trans. Amer. Math. Soc. 256 (1979), 49-88. Zbl0448.57007MR80k:58091
  13. [13] N. TELEMAN, Combinatorial Hodge Theory and Signature Theorem, Proc. Symp. Pure Math. 36 (1980), 287-292. Zbl0456.58026MR81e:58005
  14. [14] N. TELEMAN, Combinatorial Hodge Theory and Signature Operator, Inventiones Math. 61 (1980), 227-249. Zbl0456.58027MR81m:58005
  15. [15] H. WHITNEY, Geometric Integration Theory, Princeton, 1966. Zbl1141.28002

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