Cohomologie de Bismut-Nualart-Pardoux et cohomologie de Hochschild entière
Séminaire de probabilités de Strasbourg (1996)
- Volume: 30, page 68-99
Access Full Article
topHow to cite
topLéandre, Rémi. "Cohomologie de Bismut-Nualart-Pardoux et cohomologie de Hochschild entière." Séminaire de probabilités de Strasbourg 30 (1996): 68-99. <http://eudml.org/doc/113944>.
@article{Léandre1996,
author = {Léandre, Rémi},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {-forms in Nualart-Pardoux sense; stochastic exterior derivative; entire Hochschild cohomology; stochastic cohomology; loop space},
language = {fre},
pages = {68-99},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Cohomologie de Bismut-Nualart-Pardoux et cohomologie de Hochschild entière},
url = {http://eudml.org/doc/113944},
volume = {30},
year = {1996},
}
TY - JOUR
AU - Léandre, Rémi
TI - Cohomologie de Bismut-Nualart-Pardoux et cohomologie de Hochschild entière
JO - Séminaire de probabilités de Strasbourg
PY - 1996
PB - Springer - Lecture Notes in Mathematics
VL - 30
SP - 68
EP - 99
LA - fre
KW - -forms in Nualart-Pardoux sense; stochastic exterior derivative; entire Hochschild cohomology; stochastic cohomology; loop space
UR - http://eudml.org/doc/113944
ER -
References
top- [Ar.M] Airault H., Malliavin P. : Quasi sure analysis. Publication UniversitéParis VI.
- [Ar.Mi] Arai A., Mitoma I. : De Rham-Hodge-Kodaira decomposition in infinite dimension. Math. Ann.291 (1991), 51-73. Zbl0762.58004MR1125007
- [At] Atiyah M. : Circular symmetry and stationary phase approximation. pp. 43-59. Colloque en l'honneur de L.Schwartz. Astérisque131 (1985). Zbl0578.58039MR816738
- [B.L] Ben Arous G., Léandre : Décroissance exponentielle du noyau de la chaleur sur la diagonale (II) : P.T.R.F.90 (1991), 377-402. Zbl0734.60027MR1133372
- [B.V] Berline N., Vergne M. : Zéros d'un champ de vecteurs et classes caractéristiques équivariantes. Duke Math. Jour.50 (1983), 539-548. Zbl0515.58007MR705039
- [Bi1] Bismut J.M. : Large deviations and the Malliavin Calculus. Progress in Math.45. Birkhaüser. (1984). Zbl0537.35003MR755001
- [Bi2] Bismut J.M. : Index theorem and equivariant cohomology on the loop space. C.M.P.98 (1985), 213-237. Zbl0591.58027MR786574
- [Bi3] Bismut J.M. : Localisation formulas, superconnections and the index theorem for families. C.M.P.103 (1986), 127-166. Zbl0602.58042MR826861
- [Ch] Chen K.T. : Iterated path integrals of differential forms and loop space homology. Ann. Math.97 (1983), 213-237. Zbl0227.58003MR380859
- [Co] Connes A. : Entire cyclic cohomology of Banach algebras and characters of Θ-summable Fredholm modules. K-theory1 (1988), 519-548. Zbl0657.46049MR953915
- [Dr.R] Driver B., Röckner M. : Construction of diffusion on path and loop spaces of compact riemannian manifold. C.R.A.S.315. Série I. (1992),603 -608. Zbl0771.58047MR1181300
- [El1] Elworthy K.D. : Stochastic differential equations on manifolds. L.M.S.Lectures Notes Serie 20. Cambridge University Press (1982). Zbl0514.58001MR675100
- [El2] Elworthy K.D. : Geometric Aspects of diffusions on manifolds. pp 277-427. In Ecole d'été de Saint-Flour 1987. P.L. Hennequin édit. Lecture Notes in Math.1362. Springer (1989). Zbl0658.58040MR983375
- [E.L] Emery M., Léandre R. : Sur une formule de Bismut. pp 448-452. Séminaire de Probabilités XXIV. Lecture Notes in Maths.1426. Springer (1990). Zbl0702.58081MR1071560
- [F.M] Fang S., Malliavin P. : Stochastic Calculus on Riemannian manifold. Preprint. Zbl0798.58080
- [Ge1] Getzler E. : Dirichlet form on a loop space. Bull. Sciences. Math.2. 113 (1989), 157-174. Zbl0683.31002MR1002216
- [Ge2] Getzler E. : Cyclic homology and the path integral of the Dirac operator. Preprint.
- [G.J.P] Getzler E., Jones J.D.S. Petrack S. : Differential forms on a loop space and the cyclic bar complex. Topology30 (1991), 339-373. Zbl0729.58004MR1113683
- [Gi] Gilkey P.B. : Invariance theory, the heat-equation and the Atiyah-Singer theorem. Math. Lect. Series. 11. Publish and Perish. Zbl0565.58035MR783634
- [Gr] Gross L. : Potential theory on Hilbert space. J.F.A.1 (1967), 123-181. Zbl0165.16403MR227747
- [H.K] Hoegh-Krohn R. : Relativistic quantum statistical mechanics in 2 dimensional space time. C.M.P.38 (1974), 195-224. MR366313
- [I.W1] Ikeda N., Watanabe S. : Stochastic differential equations and diffusion processes. North-Holland (1981). Zbl0495.60005MR637061
- [J.L1] Jones J., Léandre R. : Lp Chen forms over loop spaces. pp 104-162. In Stochastic Analysis. M.Barlow. N.Bingham edit. Cambridge University Press (1991). Zbl0756.58003MR1166409
- [J.L2] Jones J., Léandre R. : A stochastic approach to the Dirac operator over the free loop space. In preparation.
- [J.P] Jones J., Petrack S. : The fixed point theorem in equivariant cohomology. Preprint. Zbl0723.55003
- [K1] Kusuoka S. : De Rham cohomology of Wiener-Riemannian manifolds. Preprint. Zbl0754.60067MR1159292
- [K2] Kusuoka S. : More recent theory of Malliavin Calculus. Sugaku.5.2. (1992), 155-173. Zbl0796.60059MR1207203
- [L1] Léandre R. : Applications quantitatives et qualitatives du calcul de Malliavin. pp 109-133. Proc. Col. Franco-Japonais. M. Métivier. S. Watanabe édit. Lectures Note Math.1322. Springer. (1988). English translation. pp 173-197. Geometry of Random motion. R. Durrett. M. Pinsky edit. Contemporary Math.73. (1988). Zbl0666.60014MR962867
- [L2] Léandre R. : Integration by parts formulas and rotationally invariant Sobolev Calculus on free loop spaces. In infinite dimensional problems in physics. XXVIII winter school of theoretical physics. Gielerak R. Borowiec A. edit. Journal of Geometry and Physics. 11 (1993), 517-528. Zbl0786.60074MR1230447
- [L3] Léandre R. : Invariant Sobolev Calculus on the free loop space. Preprint. MR1440476
- [L4] Léandre R. : Loop space of a developable orbifold. To be published in the proceedings of the symposium over the brownian sheet. E.Merzbach. J.P.Fouque edts. Zbl0865.55005
- [L5] Léandre R. : Brownian motion over a Kähler manifold and elliptic genera of level N. To be published in Stochastic analysis and Applications in Physics. L.Streit edt. MR1337966
- [L.R ] Léandre R., Roan S.S. : A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold. To be published In Journal of Geometry and Physics. Zbl0822.60057MR1325163
- [Nu] Nualart D. : Non causal stochastic integral and calculus. p80-129. In stochastic Analysis. A. Korezlioglu. S. Ustunel edits. Lectures Notes. Math1316. (1988). Zbl0644.60043
- [N.P] Nualart D., Pardoux. E. : Stochastics calculus with anticipating integrands. Pro. The. Rela. Fields.78 (1988), 535-581. Zbl0629.60061MR950346
- [Ra] Ramer R. : On the de Rham complex of finite codimensional forms on infinite dimensional manifolds. Thesis. Warwick University. 1974.
- [Sh] Shigekawa I. : De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space. J. Math. Kyoto. Uni.26 (1986), 191-202. Zbl0611.58006MR849215
- [Sm] Smolyanov O.G. : De Rham currents and Stoke's formula in a Hilbert space. Soviet Math. Dok.33. 3 (1986), 140-144. Zbl0608.58004MR834693
- [Sm.W] Smolyanov O.G., v.Weizsäcker H. : Differentiable families of measures. Jour. Funct.Ana.118.2. (1993),454-474. Zbl0795.46015MR1250270
- [T] Taubes C. : S1 actions and elliptic genera. C.M.P.122 (1989), 455-526. Zbl0683.58043MR998662
- [Ug] Uglanov Y. : Surface integrals and differential equations on an infinite dimensional space. Sov. Math. Dok.20.4. (1979), 917-920. Zbl0429.35070
- [Wa] Watanabe S. : Stochastic analysis and its application. Sugaku.5.1 (1992),51-71. Zbl0796.60058MR1161472
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.