no. 2
Homotopy invariance of twisted higher signatures on manifolds with boundary
Bulletin de la Société Mathématique de France, Tome 127 (1999) no. 2, pp. 307-331 
@article{BSMF_1999__127_2_307_0,
     author = {Leichtnam, \'Eric and Piazza, Paolo},
     title = {Homotopy invariance of twisted higher signatures on manifolds with boundary},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {307--331},
     year = {1999},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {127},
     number = {2},
     doi = {10.24033/bsmf.2350},
     mrnumber = {2000f:58048},
     zbl = {0945.58020},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/bsmf.2350/}
}
TY  - JOUR
AU  - Leichtnam, Éric
AU  - Piazza, Paolo
TI  - Homotopy invariance of twisted higher signatures on manifolds with boundary
JO  - Bulletin de la Société Mathématique de France
PY  - 1999
SP  - 307
EP  - 331
VL  - 127
IS  - 2
PB  - Société mathématique de France
UR  - https://www.numdam.org/articles/10.24033/bsmf.2350/
DO  - 10.24033/bsmf.2350
LA  - en
ID  - BSMF_1999__127_2_307_0
ER  - 
%0 Journal Article
%A Leichtnam, Éric
%A Piazza, Paolo
%T Homotopy invariance of twisted higher signatures on manifolds with boundary
%J Bulletin de la Société Mathématique de France
%D 1999
%P 307-331
%V 127
%N 2
%I Société mathématique de France
%U https://www.numdam.org/articles/10.24033/bsmf.2350/
%R 10.24033/bsmf.2350
%G en
%F BSMF_1999__127_2_307_0
Leichtnam, Éric; Piazza, Paolo. Homotopy invariance of twisted higher signatures on manifolds with boundary. Bulletin de la Société Mathématique de France, Tome 127 (1999) no. 2, pp. 307-331. doi: 10.24033/bsmf.2350

[APS1] Atiyah (M.F.), Patodi (V.), Singer (I.). - Spectral Asymmetry and Riemannian Geometry, I, Math. Proc. Cambridge Phil. Soc., t. 77, p. 43, 1975. | Zbl | MR

[APS2] Atiyah (M.F.), Patodi (V.), Singer (I.). - Spectral Asymmetry and Riemannian Geometry, I, Math. Proc. Cambridge Phil. Soc., t. 78, p. 405, 1976. | Zbl

[AS] Atiyah (M.F.), Singer (I.). - The index of elliptic operators, III, Ann. Math., t. 87, 1968, p. 546. | Zbl

[BiCh] Bismut (J.-M.), Cheeger (J.). - Remarks on The Index Theorem for Families of Dirac Operators on Manifolds with Boundary. - Differential Geometricy, B. Lawson and K. Teneblat (eds), Longman Scientific, 1992.

[Ch1] Cheeger (J.). - On the Hodge Theory of Riemannian Pseudomanifolds, Proc. Symposia Pure Mathematics, vol. 36, p. 91, 1980. | Zbl | MR

[Ch2] Cheeger (J.). - Spectral Geometry of Singular Riemann Spaces, J. Diff. Geom., t. 18, 1983, p. 575. | Zbl | MR

[Co] Connes (A.). - Noncommutative geometry. - Academic Press, 1994. | Zbl | MR

[CM] Connes (A.), Moscovici (H.). - Cyclic Cohomology, the Novikov Conjecture and Hyperbolic Groups, Topology, t. 29, 1990, p. 345. | Zbl | MR

[FS] Fintushel (R.), Stern (R.). - Rational blowdowns of smooth 4-manifolds, J. Diff. Geom., t. 46, 1997, p. 181. | Zbl | MR

[FRR] Ferry (S.), Ranicki (A.), Rosenberg (J.). - A history and survey of the Novikov conjecture, in Novikov Conjectures, Index Theorems and Rigidity, vol. 1, London Math. Soc., Lecture Notes Series, t. 226, 1995. | Zbl | MR

[Ka] Karoubi (M.). - Homologie Cyclique et K-Théorie, Astérisque, t. 149, 1987. | Zbl | MR | Numdam

[HS] Hilsum (M.), Skandalis (G.). - Invariance par homotopie de la signature à coefficient dans un fibré presque plat, J. reine angew. Math., t. 423, 1992, p. 73. | Zbl | MR

[LP1] Leichtnam (E.), Piazza (P.). - The b-pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem, Mémoires Soc. Math. France, t. 68, 1997. | Zbl | MR | Numdam

[LP2] Leichtnam (E.), Piazza (P.). - Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings, GAFA, t. 8, 1996, p. 17. | Zbl | MR

[LP3] Leichtnam (E.), Piazza (P.). - Higher eta invariants and the Novikov conjecture on manifolds with boundary, C. R. Acad. Sciences, t. 327 serie I, 1998, p. 497-502. | Zbl | MR

[L1] Lott (J.). - Superconnections and higher index theory, GAFA, t. 2, 1992, p. 421. | Zbl | MR

[L2] Lott (J.). - Higher eta invariants, K-Theory, t. 6, 1992, p. 191. | Zbl | MR

[L3] Lott (J.). Diffeomorphisms, Analytic Torsion and Non Commutative Geometry, Memoires AMS (in press), circulating as Preprint Max Planck Institute, Bonn, 1996.

[L4] Lott (J.). - The Zero-in-the-Spectrum Question, Enseign. Math., t. 42, 1996, p. 341-376. | Zbl | MR

[Lu] Lusztig (G.). - Novikov's Higher Signature and Families of Elliptic Operators, J. Differential. Geom., t. 7, 1971, p. 229. | Zbl | MR

[Me] Melrose (R.). - The Atiyah-Patodi-Singer Index Theorem. - A. and K. Peters, 1993. | Zbl | MR

[MP1] Melrose (R.), Piazza (P.). - Families of Dirac operators, boundaries and the b-calculus, J. Differential. Geom., t. 46, n° 1, 1997, p. 99. | Zbl | MR

[MP2] Melrose (R.), Piazza (P.). - An index theorem for families of Dirac operators on odd dimensional manifolds with boundary, J. Differential. Geom., t. 46, n° 2, 1997, p. 287. | Zbl | MR

[Pi] Piazza (P.). - Dirac operators, heat kernels and microlocal analysis, Part I, Rend. Circolo Mat. Palermo, t. 49, 1997, p. 187. | Zbl

Cité par Sources :