@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}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {127}, number = {2}, year = {1999}, doi = {10.24033/bsmf.2350}, mrnumber = {2000f:58048}, zbl = {0945.58020}, language = {en}, url = {http://archive.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 - http://archive.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 http://archive.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, Volume 127 (1999) no. 2, pp. 307-331. doi : 10.24033/bsmf.2350. http://archive.numdam.org/articles/10.24033/bsmf.2350/
[APS1] Spectral Asymmetry and Riemannian Geometry, I, Math. Proc. Cambridge Phil. Soc., t. 77, p. 43, 1975. | MR | Zbl
, , . -[APS2] Spectral Asymmetry and Riemannian Geometry, I, Math. Proc. Cambridge Phil. Soc., t. 78, p. 405, 1976. | Zbl
, , . -[AS] The index of elliptic operators, III, Ann. Math., t. 87, 1968, p. 546. | Zbl
, . -[BiCh] 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] On the Hodge Theory of Riemannian Pseudomanifolds, Proc. Symposia Pure Mathematics, vol. 36, p. 91, 1980. | MR | Zbl
. -[Ch2] Spectral Geometry of Singular Riemann Spaces, J. Diff. Geom., t. 18, 1983, p. 575. | MR | Zbl
. -[Co] Noncommutative geometry. - Academic Press, 1994. | MR | Zbl
. -[CM] Cyclic Cohomology, the Novikov Conjecture and Hyperbolic Groups, Topology, t. 29, 1990, p. 345. | MR | Zbl
, . -[FS] Rational blowdowns of smooth 4-manifolds, J. Diff. Geom., t. 46, 1997, p. 181. | MR | Zbl
, . -[FRR] 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. | MR | Zbl
, , . -[Ka] Homologie Cyclique et K-Théorie, Astérisque, t. 149, 1987. | Numdam | MR | Zbl
. -[HS] Invariance par homotopie de la signature à coefficient dans un fibré presque plat, J. reine angew. Math., t. 423, 1992, p. 73. | MR | Zbl
, . -[LP1] The b-pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem, Mémoires Soc. Math. France, t. 68, 1997. | Numdam | MR | Zbl
, . -[LP2] Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings, GAFA, t. 8, 1996, p. 17. | MR | Zbl
, . -[LP3] Higher eta invariants and the Novikov conjecture on manifolds with boundary, C. R. Acad. Sciences, t. 327 serie I, 1998, p. 497-502. | MR | Zbl
, . -[L1] Superconnections and higher index theory, GAFA, t. 2, 1992, p. 421. | MR | Zbl
. -[L2] Higher eta invariants, K-Theory, t. 6, 1992, p. 191. | MR | Zbl
. -[L3] Diffeomorphisms, Analytic Torsion and Non Commutative Geometry, Memoires AMS (in press), circulating as Preprint Max Planck Institute, Bonn, 1996.
.[L4] The Zero-in-the-Spectrum Question, Enseign. Math., t. 42, 1996, p. 341-376. | MR | Zbl
. -[Lu] Novikov's Higher Signature and Families of Elliptic Operators, J. Differential. Geom., t. 7, 1971, p. 229. | MR | Zbl
. -[Me] The Atiyah-Patodi-Singer Index Theorem. - A. and K. Peters, 1993. | MR | Zbl
. -[MP1] Families of Dirac operators, boundaries and the b-calculus, J. Differential. Geom., t. 46, n° 1, 1997, p. 99. | MR | Zbl
, . -[MP2] An index theorem for families of Dirac operators on odd dimensional manifolds with boundary, J. Differential. Geom., t. 46, n° 2, 1997, p. 287. | MR | Zbl
, . -[Pi] Dirac operators, heat kernels and microlocal analysis, Part I, Rend. Circolo Mat. Palermo, t. 49, 1997, p. 187. | Zbl
. -Cited by Sources: