-
1
-
-
0001696024
-
On the cobar construction
-
[Ad] J.F. Adams, On the cobar construction, Proc. Nat. Acad. Sci. USA 42 (1956) 346-373.
-
(1956)
Proc. Nat. Acad. Sci. USA
, vol.42
, pp. 346-373
-
-
Adams, J.F.1
-
3
-
-
0002340980
-
On the support of Wiener functionals
-
eds. D. Elworthy and N. Ikeda, Longman Scientific, New York
-
[AKS] S. Aida, S. Kusuoka and D.W. Stroock. On the support of Wiener functionals. In: Asymptotics Problems in Probability Theory: Wiener Functionals and Asymptotics, eds. D. Elworthy and N. Ikeda, Vol. 284 (Longman Scientific, New York, 1993) pp. 3-35.
-
(1993)
Asymptotics Problems in Probability Theory: Wiener Functionals and Asymptotics
, vol.284
, pp. 3-35
-
-
Aida, S.1
Kusuoka, S.2
Stroock, D.W.3
-
5
-
-
0002171899
-
The energy representation of Sobolev Lie groups
-
[AH-K] S. Albeverio and R. Hoegh-Krohn. The energy representation of Sobolev Lie groups. Compositio Math. 36 (1978) 37-52.
-
(1978)
Compositio Math.
, vol.36
, pp. 37-52
-
-
Albeverio, S.1
Hoegh-Krohn, R.2
-
7
-
-
0010209836
-
Geometric quantization on Wiener manifolds
-
Stochastic Analysis. eds. A. Cruzeiro and J.C. Zambrini
-
[AP] L. Andersson and G. Peters. Geometric quantization on Wiener manifolds, in: Stochastic Analysis. eds. A. Cruzeiro and J.C. Zambrini. Progr. Probab. 26 (1990) 29-51.
-
(1990)
Progr. Probab.
, vol.26
, pp. 29-51
-
-
Andersson, L.1
Peters, G.2
-
8
-
-
33847299320
-
Décroissance exponentielle du noyau de la chaleur sur la diagonale II
-
[BL] G. Ben-Arous and R. Leandre, Décroissance exponentielle du noyau de la chaleur sur la diagonale II, Probab. Theory Related Fields 90 (1991) 377-402.
-
(1991)
Probab. Theory Related Fields
, vol.90
, pp. 377-402
-
-
Ben-Arous, G.1
Leandre, R.2
-
10
-
-
0000715107
-
Index theorem and equivariant cohomology on the loop space
-
[Bi2] J.M. Bismut, Index theorem and equivariant cohomology on the loop space, Comm. Math. Phys. 98 (1985) 127-166.
-
(1985)
Comm. Math. Phys.
, vol.98
, pp. 127-166
-
-
Bismut, J.M.1
-
11
-
-
21144471067
-
The pfaffian line bundle
-
[Bo] D. Borthwick, The Pfaffian line bundle, Comm. Math. Phys. 149 (1992) 463-493.
-
(1992)
Comm. Math. Phys.
, vol.149
, pp. 463-493
-
-
Borthwick, D.1
-
13
-
-
0003988801
-
-
Progress in Mathematics, Birkhauser, Basel
-
[Br] J.L. Brylinski, Loop spaces, Characteristic Classes and Geometric Quantization, Progress in Mathematics, Vol. 107 (Birkhauser, Basel, 1992).
-
(1992)
Loop Spaces, Characteristic Classes and Geometric Quantization
, vol.107
-
-
Brylinski, J.L.1
-
14
-
-
84974005606
-
The geometry of degree-four characteristic classes and of line bundles on loop spaces I
-
[BrM-L] J.L. Brylinski and D. Mac Laughlin, The geometry of degree-four characteristic classes and of line bundles on loop spaces I, Duke Math. J. 75 (1994) 603-638.
-
(1994)
Duke Math. J.
, vol.75
, pp. 603-638
-
-
Brylinski, J.L.1
Mac Laughlin, D.2
-
15
-
-
0000672090
-
String structure and the path fibration of a group
-
[CM] A.L Carey and M.K Murray, String structure and the path fibration of a group, Comm. Math. Phys. 141 (1991) 441-452.
-
(1991)
Comm. Math. Phys.
, vol.141
, pp. 441-452
-
-
Carey, A.L.1
Murray, M.K.2
-
16
-
-
0001646292
-
Iterated path integrals of differential forms and loop space homology
-
[Ch] K.T. Chen, Iterated path integrals of differential forms and loop space homology, Ann. Math. 97 (1973) 213-237.
-
(1973)
Ann. Math.
, vol.97
, pp. 213-237
-
-
Chen, K.T.1
-
17
-
-
0000833560
-
String structure on loop bundles
-
[CP] R. Coquereaux and K. Pilch, String structure on loop bundles, Comm. Math. Phys. 120 (1989) 353-378.
-
(1989)
Comm. Math. Phys.
, vol.120
, pp. 353-378
-
-
Coquereaux, R.1
Pilch, K.2
-
18
-
-
0030578297
-
Renormalized differential geometry on path space: Structural equation, curvature
-
[CrM] A. Cruzeiro and P. Malliavin, Renormalized differential geometry on path space: Structural equation, curvature, J. Funct. Anal. 139 (1996) 119-181.
-
(1996)
J. Funct. Anal.
, vol.139
, pp. 119-181
-
-
Cruzeiro, A.1
Malliavin, P.2
-
19
-
-
0010202474
-
Diffusions and quasi-invariant measures on infinite dimensional Lie groups
-
[DS] Y. Daletskii and Y. Shnaiderman, Diffusions and quasi-invariant measures on infinite dimensional Lie groups, Funct. Anal. Appl. 3 (1969) 156-158.
-
(1969)
Funct. Anal. Appl.
, vol.3
, pp. 156-158
-
-
Daletskii, Y.1
Shnaiderman, Y.2
-
20
-
-
44049121803
-
A Cameron-Martin type quasi-invariance for brownian motion on compact manifolds
-
[Dr] B. Driver, A Cameron-Martin type quasi-invariance for Brownian motion on compact manifolds, J. Funct. Anal. 110 (1992) 272-376.
-
(1992)
J. Funct. Anal.
, vol.110
, pp. 272-376
-
-
Driver, B.1
-
23
-
-
44949284398
-
Differential forms on loop spaces and the cyclic bar complex
-
[GJP] E. Getzler, J.D.S. Jones and S. Petrack, Differential forms on loop spaces and the cyclic bar complex, Topology 30 (1991) 339-371.
-
(1991)
Topology
, vol.30
, pp. 339-371
-
-
Getzler, E.1
Jones, J.D.S.2
Petrack, S.3
-
24
-
-
0000464861
-
Potential theory on Hilbert spaces
-
[Gr1] L. Gross, Potential theory on Hilbert spaces, J. Funct. Anal. 1 (1967) 123-181.
-
(1967)
J. Funct. Anal.
, vol.1
, pp. 123-181
-
-
Gross, L.1
-
25
-
-
0001845738
-
A poincaré lemma for connection forms
-
[Gr2] L. Gross, A Poincaré lemma for connection forms, J. Funct. Anal. 63 (1) (1985) 1-46.
-
(1985)
J. Funct. Anal.
, vol.63
, Issue.1
, pp. 1-46
-
-
Gross, L.1
-
26
-
-
0001625329
-
Logarithmic Sobolev inequalities on a loop group
-
[Gr3] L. Gross, Logarithmic Sobolev inequalities on a loop group, J. Funct. Anal. 102 (1991) 268-312.
-
(1991)
J. Funct. Anal.
, vol.102
, pp. 268-312
-
-
Gross, L.1
-
29
-
-
0000438918
-
p Chen forms over loop spaces
-
eds. M. Barlow and N. Bingham Cambridge University Press, Cambridge
-
p Chen forms over loop spaces, in: Stochastic Analysis, eds. M. Barlow and N. Bingham (Cambridge University Press, Cambridge, 1991) pp. 104-162.
-
(1991)
Stochastic Analysis
, pp. 104-162
-
-
Jones, J.1
Léandre, R.2
-
31
-
-
0001373319
-
World-sheet anomalies and loop geometry
-
[Ki] T. Killingback, World-sheet anomalies and loop geometry, Nucl. Phys. B 288 (1987) 578-588.
-
(1987)
Nucl. Phys. B
, vol.288
, pp. 578-588
-
-
Killingback, T.1
-
32
-
-
0002756444
-
Strange behaviour of the heat kernel on the diagonal
-
ed. S. Albeverio World Scientific, Singapore
-
[L1] R. Léandre, Strange behaviour of the heat kernel on the diagonal, in: Stochastic Processes, Physic and Geometry, ed. S. Albeverio (World Scientific, Singapore, 1990) pp. 516-528.
-
(1990)
Stochastic Processes, Physic and Geometry
, pp. 516-528
-
-
Léandre, R.1
-
33
-
-
0000252704
-
Integration by parts formulas and rotationally invariant Sobolev Calculus on the free loop space
-
XXVII Winter School of Theoretical Physic, eds. R. Gielerak and A. Borowiec
-
[L2] R. Léandre, Integration by parts formulas and rotationally invariant Sobolev Calculus on the free loop space, XXVII Winter School of Theoretical Physic, eds. R. Gielerak and A. Borowiec, J. Geom. Phy. 11 (1993) 517-528.
-
(1993)
J. Geom. Phy.
, vol.11
, pp. 517-528
-
-
Léandre, R.1
-
34
-
-
85030016190
-
Invariant Sobolev Calculus on the free loop space
-
to be published
-
[L3] R. Léandre, Invariant Sobolev Calculus on the free loop space, Acta Appl. Math., to be published.
-
Acta Appl. Math.
-
-
Léandre, R.1
-
35
-
-
0001090431
-
Brownian motion over a Kahler manifold and elliptic genera of level N
-
eds. R. Sénéor and L. Streit, NATO ASI series
-
[L4] R. Léandre, Brownian motion over a Kahler manifold and elliptic genera of level N, in: Stochastic Analysis and Applications in Physics, eds. R. Sénéor and L. Streit, NATO ASI series. Vol. 449 (1994) 193-217.
-
(1994)
Stochastic Analysis and Applications in Physics
, vol.449
, pp. 193-217
-
-
Léandre, R.1
-
36
-
-
0038897891
-
Cohomologie de Bismut-Nualart-Pardoux et cohomologie de Hochschild entiere
-
eds. J. Azéma, M. Emery and M. Yor, Lectures Notes in Mathematics. Springer, Berlin
-
[L5] R. Léandre, Cohomologie de Bismut-Nualart-Pardoux et cohomologie de Hochschild entiere, Séminaire de Probabilités XXX in honour of P.A. Meyer and J. Neveu, eds. J. Azéma, M. Emery and M. Yor, Lectures Notes in Mathematics. Vol. 1626 (Springer, Berlin, 1996) pp. 68-100.
-
(1996)
Séminaire de Probabilités XXX in Honour of P.A. Meyer and J. Neveu
, vol.1626
, pp. 68-100
-
-
Léandre, R.1
-
37
-
-
85033087487
-
Stochastic Wess-Zumino-Witten model over a symplectic manifold
-
to be published
-
[L6] R. Léandre, Stochastic Wess-Zumino-Witten model over a symplectic manifold. J. Geom. Phys., to be published .
-
J. Geom. Phys.
-
-
Léandre, R.1
-
38
-
-
84891320749
-
Brownian cohomology of an homogeneous manifold
-
eds. K.D. Elworthy and S. Kusuoka, to be published
-
[L7] R. Léandre, Brownian cohomology of an homogeneous manifold, Proc. Taniguchi Conf. eds. K.D. Elworthy and S. Kusuoka, to be published.
-
Proc. Taniguchi Conf.
-
-
Léandre, R.1
-
39
-
-
84891295914
-
Stochastic moore loop space
-
ed. P. Garbaczweski, Lecture Notes in Physics, Springer, Berlin
-
[L8] R. Léandre, Stochastic Moore loop space, in: Chaos: The Interplay Between Stochastic and Deterministic Behaviour, ed. P. Garbaczweski, Lecture Notes in Physics, Vol. 457 (Springer, Berlin, 1995) pp. 479-502.
-
(1995)
Chaos: The Interplay Between Stochastic and Deterministic Behaviour
, vol.457
, pp. 479-502
-
-
Léandre, R.1
-
41
-
-
0040304520
-
Hilbert space of spinors fields over the free loop space
-
to be published
-
[L10] R. Léandre, Hilbert space of spinors fields over the free loop space, Rev. Math. Phys., to be published.
-
Rev. Math. Phys.
-
-
Léandre, R.1
-
42
-
-
0040016391
-
Cover of the Brownian bridge and stochastic symplectic action
-
to be published
-
[L11] R. Léandre, Cover of the Brownian bridge and stochastic symplectic action, Rev. Math. Phys., to be published.
-
Rev. Math. Phys.
-
-
Léandre, R.1
-
44
-
-
0040675988
-
Integration by parts and Cameron-Martin formulas for the free path space of a compact Riemannian manifold
-
to be published
-
[LN] R. Léandre and J. Norris, Integration by parts and Cameron-Martin formulas for the free path space of a compact Riemannian manifold, Séminaire de Probabilités XXXI, to be published.
-
Séminaire de Probabilités
, vol.31
-
-
Léandre, R.1
Norris, J.2
-
45
-
-
0010805441
-
A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold
-
[LR] R. Léandre and S.S. Roan, A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold, J. Geom. Phys. 16 (1995) 71-98.
-
(1995)
J. Geom. Phys.
, vol.16
, pp. 71-98
-
-
Léandre, R.1
Roan, S.S.2
-
46
-
-
84973997896
-
Orientation and string structures on loop spaces
-
[ML] D. MacLaughlin, Orientation and string structures on loop spaces, Pacific J. Math. 155 (1992) 143-156.
-
(1992)
Pacific J. Math.
, vol.155
, pp. 143-156
-
-
MacLaughlin, D.1
-
47
-
-
0001918078
-
Integration on loop group 111. Asymptotic Peter-Weyl orthogonality
-
[MM] M.P. Malliavin and P. Malliavin, Integration on loop group 111. Asymptotic Peter-Weyl orthogonality, J. Funct. Anal. 108 (1992) 13-46.
-
(1992)
J. Funct. Anal.
, vol.108
, pp. 13-46
-
-
Malliavin, M.P.1
Malliavin, P.2
-
48
-
-
0010147339
-
Another construction of the central extension of the loop group
-
[Mu] M.K. Murray, Another construction of the central extension of the loop group, Comm. Math. Phys. 116 (1988) 73-80.
-
(1988)
Comm. Math. Phys.
, vol.116
, pp. 73-80
-
-
Murray, M.K.1
-
49
-
-
21144467887
-
Covariant stochastic calculus and applications to heat kernels
-
[N] J. Norris, Covariant stochastic calculus and applications to heat kernels, Probab. Theory. Related Fields 94 (1993) 525-541.
-
(1993)
Probab. Theory. Related Fields
, vol.94
, pp. 525-541
-
-
Norris, J.1
-
51
-
-
0003863511
-
-
Oxford University Press, Oxford
-
[PS] A. Pressley and G. Segal, Loop Groups (Oxford University Press, Oxford, 1986).
-
(1986)
Loop Groups
-
-
Pressley, A.1
Segal, G.2
-
52
-
-
0000127774
-
Elliptic cohomology, Séminaire Bourbaki, exposé 695
-
[Se] G. Segal, Elliptic cohomology, Séminaire Bourbaki, Exposé 695, Astérisque 161-162 (1988) 187-201.
-
(1988)
Astérisque
, vol.161-162
, pp. 187-201
-
-
Segal, G.1
-
53
-
-
0001514503
-
Transformations of Brownian motion on a Riemannian symmetric space
-
[Sh1] I. Shigekawa, Transformations of Brownian motion on a Riemannian symmetric space, Z.W. 65 (1984) 493-522.
-
(1984)
Z.W.
, vol.65
, pp. 493-522
-
-
Shigekawa, I.1
-
55
-
-
0001598675
-
1 actions and elliptic genera
-
1 actions and elliptic genera, Comm. Math. Phys. 122 (1989) 455-526.
-
(1989)
Comm. Math. Phys.
, vol.122
, pp. 455-526
-
-
Taubes, C.1
-
56
-
-
0002045062
-
The index of the Dirac operator in loop space
-
ed. Landweber, Lecture Notes in Mathematics, Springer, Berlin
-
[Wi] Ed. Witten, The index of the Dirac operator in loop space, in: Elliptic Curves and Modular Forms in Algebraic Topology, ed. Landweber, Lecture Notes in Mathematics, Vol. 1326 (Springer, Berlin, 1988) pp. 161-181.
-
(1988)
Elliptic Curves and Modular Forms in Algebraic Topology
, vol.1326
, pp. 161-181
-
-
Witten, Ed.1
|