Classes caractéristiques secondaires des fibrés plats
Séminaire Bourbaki (1995-1996)
- Volume: 38, page 411-424
- ISSN: 0303-1179
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topSoulé, Christophe. "Classes caractéristiques secondaires des fibrés plats." Séminaire Bourbaki 38 (1995-1996): 411-424. <http://eudml.org/doc/110222>.
@article{Soulé1995-1996,
author = {Soulé, Christophe},
journal = {Séminaire Bourbaki},
keywords = {secondary characteristic classes; flat vector bundles},
language = {fre},
pages = {411-424},
publisher = {Société Mathématique de France},
title = {Classes caractéristiques secondaires des fibrés plats},
url = {http://eudml.org/doc/110222},
volume = {38},
year = {1995-1996},
}
TY - JOUR
AU - Soulé, Christophe
TI - Classes caractéristiques secondaires des fibrés plats
JO - Séminaire Bourbaki
PY - 1995-1996
PB - Société Mathématique de France
VL - 38
SP - 411
EP - 424
LA - fre
KW - secondary characteristic classes; flat vector bundles
UR - http://eudml.org/doc/110222
ER -
References
top- [1] S. Bloch - Some elementary Theorems about Algebraic Cycles on Abelian Varieties, Inventiones Math.37 (1976), 215-228. Zbl0371.14007MR429883
- [2] S. Bloch - Applications of the dilogarithm function in algebraic K-theory and algebraic geometry, Int. Symposium on Alg. Geom., Kyoto (1977), 103-114. Zbl0416.18016MR578856
- [3] A. Borel - Topics in the Homology Theory of Fibre Bundles, Springer LNM36 (1967). Zbl0158.20503MR221507
- [4] A. Borel - Stable real cohomology of arithmetic groups, Ann. Sci. ENS (4) 7 (1974), 235-272. Zbl0316.57026MR387496
- [5] A. Borel - Stable real cohomology of arithmetic groups II, in "Manifolds and Lie groups" , Papers in honour of Y. Matsushima, Birkhäuser, Progress in Math.14 (1981), 21-55. Zbl0483.57026MR642850
- [6] A. Borel, J. Yang - The rank conjecture for number fields, Math. Research Letters1 (1994), 689-699. Zbl0841.19002MR1306014
- [7] J.-L. Brylinski - Comparison of the Beilinson-Chern classes with the Chern-Cheeger-Simons classes, (1993), preprint. MR1667678
- [8] J. Carlson, D. Toledo - Harmonic mappings of Kähler manifolds to locally symmetric spaces, Publ. Math. IHES69 (1989), 173-201. Zbl0695.58010MR1019964
- [9] J. Cheeger, J. Simons - Differential characters and geometric invariants, in Geometry and Topology, Springer LNM1167 (1985), 50-80. Zbl0621.57010MR827262
- [10] S.S. Chern, J. Simons - Characteristic forms and geometric invariants, Annals of Math.99 (1974), 48-69. Zbl0283.53036MR353327
- [11] K. Corlette - Flat G-bundles with canonical metrics, J. Differential Geometry28 (1988), 361-382. Zbl0676.58007MR965220
- [12] K. Corlette, H. Esnault - Classes of local systems of hermitian vector spaces, appendice à "Eta invariants, differential characters and flat vector bundles" de J.-M. Bismut (1995), preprint. MR2129894
- [13] P. Deligne - Travaux de Griffiths, Sém. Bourbaki, exp. n° 376, Springer LNM180 (1971), 213-237. Zbl0208.48601
- [14] P. Deligne - A quoi servent les motifs ?, in "Motives", Proceedings Symposia Pure Math.55 Part 1 (1994), 143-161. Zbl0811.14001MR1265528
- [15] S.K. Donaldson - Twisted harmonic maps and self-duality equations, Proc. London Math. Soc.55 (1987), 127-131. Zbl0634.53046MR887285
- [16] J. Dupont - Curvature and characteristic classes, Springer LNM640 (1978). Zbl0373.57009MR500997
- [17] J. Dupont, R. Hain, S. Zucker - Regulators and characteristic classes of flat bundles, (1992), preprint. Zbl0976.14005MR1736876
- [18] H. Esnault - Recent developments on characteristic classes of flat bundles on complex algebraic manifolds, (1996), preprint. MR1421952
- [19] H. Esnault, E. Viehweg - Deligne-Beilinson cohomology, in "Beilinson's Conjectures on Special Values of L-Functions", Perspectives in Math.4 (1988), 43-91. Zbl0656.14012MR944991
- [20] H. Gillet, C. Soulé - Arithmetic Chow groups and differential characters, in "Algebraic K-theory : connections with geometry and topology", Kluwer Academic Publishers (1989), 30-68. Zbl0719.14003MR1045844
- [21] P. Griffiths - Periods of integrals on algebraic manifolds, III (some global differential-geometric properties of the period mapping), Publ. Math. IHES38 (1970), 125-180. Zbl0212.53503MR282990
- [22] U. Jannsen - Motivic sheaves and filtrations on Chow groups, in "Motives" , Proceedings Symposia Pure Math.55 Part 1 (1994), 245-302. Zbl0811.14004MR1265533
- [23] F. Kamber, Ph. Tondeur - Foliated bundles and characteristic classes, Springer LNM493 (1975). Zbl0308.57011MR402773
- [24] M. Karoubi - Classes caractéristiques de fibrés feuilletés, holomorphes ou algébriques, K-Theory8 (1994), 153-211. Zbl0833.57012MR1273841
- [25] N. Katz, T. Oda - On the differentiation of De Rham cohomology classes with respect to parameters, J. Math. Kyoto Univ.8-2 (1968), 199-213. Zbl0165.54802MR237510
- [26] R. Narasimhan, S. Ramanan - Existence of universal connections I, II, American J. Math.83 (1961), 563-572 ; 85 (1963), 223-231. Zbl0117.39002MR133772
- [27] P. Pansu - Sous-groupes discrets des groupes de Lie : rigidité, arithméticité, Sém. Bourbaki, exp. n° 778, Astérisque227 (1995), 69-105. Zbl0835.22011MR1321644
- [28] A. Reznikov - Rationality of secondary classes, J. Differential Geometry, à paraître. Zbl0874.32009MR1412681
- [29] A. Reznikov - All regulators of flat bundles are torsion, Annals of Math.141 (1995), 373-386. Zbl0865.14003MR1324139
- [30] J. Sampson - Applications of harmonic maps to Kähler geometry, in "Complex Differential Geometry and Nonlinear Differential Equations", Contemp. Math.49 (1986), 125-133. Zbl0605.58019MR833809
- [31] C.T. Simpson - Moduli of representations of the fundamental group of a smooth projective variety II, Publ. Math. IHES80 (1994), 5-79. Zbl0891.14006MR1320603
- [32] C. Soulé - Connexions et classes caractéristiques de Beilinson, in "Algebraic K-Theory and Algebraic Number Theory", Contemporary Math.83 (1989), 349-376. Zbl0695.14003MR991985
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