Elliptic operators and higher signatures

Eric Leichtnam[1]; Paolo Piazza

  • [1] Institut de Jussieu et CNRS, Etage 7E, 175 rue du Chevaleret, 75013 Paris (France), Università di Roma ``La Sapienza'', Dipartimento di Matematica G. Castelnuovo, P. le Aldo Moro 2, 00185 Rome (Italy)

Annales de l’institut Fourier (2004)

  • Volume: 54, Issue: 5, page 1197-1277
  • ISSN: 0373-0956

Abstract

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Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov’s higher signatures on closed manifolds, - the problem of cut-and-paste invariance of Novikov’s higher signatures on closed manifolds, - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.

How to cite

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Leichtnam, Eric, and Piazza, Paolo. "Elliptic operators and higher signatures." Annales de l’institut Fourier 54.5 (2004): 1197-1277. <http://eudml.org/doc/116142>.

@article{Leichtnam2004,
abstract = {Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov’s higher signatures on closed manifolds, - the problem of cut-and-paste invariance of Novikov’s higher signatures on closed manifolds, - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.},
affiliation = {Institut de Jussieu et CNRS, Etage 7E, 175 rue du Chevaleret, 75013 Paris (France), Università di Roma ``La Sapienza'', Dipartimento di Matematica G. Castelnuovo, P. le Aldo Moro 2, 00185 Rome (Italy)},
author = {Leichtnam, Eric, Piazza, Paolo},
journal = {Annales de l’institut Fourier},
keywords = {elliptic operators; boundary-value problems; index theory; eta invariants; Novikov higher signatures; homotopy invariance; cut-and-paste invariance; higher signatures; Novikov conjecture; eta invariant},
language = {eng},
number = {5},
pages = {1197-1277},
publisher = {Association des Annales de l'Institut Fourier},
title = {Elliptic operators and higher signatures},
url = {http://eudml.org/doc/116142},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Leichtnam, Eric
AU - Piazza, Paolo
TI - Elliptic operators and higher signatures
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 5
SP - 1197
EP - 1277
AB - Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov’s higher signatures on closed manifolds, - the problem of cut-and-paste invariance of Novikov’s higher signatures on closed manifolds, - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.
LA - eng
KW - elliptic operators; boundary-value problems; index theory; eta invariants; Novikov higher signatures; homotopy invariance; cut-and-paste invariance; higher signatures; Novikov conjecture; eta invariant
UR - http://eudml.org/doc/116142
ER -

References

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