Comment choisir une connexion au hasard ?

Thierry Lévy

Séminaire de théorie spectrale et géométrie (2002-2003)

  • Volume: 21, page 61-73
  • ISSN: 1624-5458

How to cite

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Lévy, Thierry. "Comment choisir une connexion au hasard ?." Séminaire de théorie spectrale et géométrie 21 (2002-2003): 61-73. <http://eudml.org/doc/114477>.

@article{Lévy2002-2003,
author = {Lévy, Thierry},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {random connections; Yang-Mills measure},
language = {fre},
pages = {61-73},
publisher = {Institut Fourier},
title = {Comment choisir une connexion au hasard ?},
url = {http://eudml.org/doc/114477},
volume = {21},
year = {2002-2003},
}

TY - JOUR
AU - Lévy, Thierry
TI - Comment choisir une connexion au hasard ?
JO - Séminaire de théorie spectrale et géométrie
PY - 2002-2003
PB - Institut Fourier
VL - 21
SP - 61
EP - 73
LA - fre
KW - random connections; Yang-Mills measure
UR - http://eudml.org/doc/114477
ER -

References

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  1. [1] Sergio ALBEVERIO, Raphael H∅EGH-KROHN, and Helge Holden. Stochastic Lie group-valued measures and their relations to stochastic curve integrals, gauge fields and Markov cosurfaces. In Stochastic processes - mathematics and physics (Bielefeld, 1984), pages 1-24. Springer, Berlin, 1986. Zbl0575.60068MR838556
  2. [2] Bruce K. DRIVER. YM2: continuum expectations, lattice convergence, and lassos. Comm. Math. Phys., 123(4):575-616, 1989. Zbl0819.58043MR1006295
  3. [3] Leonard GROSS. A Poincaré lemma for connection forms. J. Funct.Anal., 63(1): 1-46, 1985. Zbl0624.53021MR795515
  4. [4] Thierry LÉVY. Wilson loops in the light of spin networks, math-ph/0306059, 2003. Zbl1078.81059MR2098832
  5. [5] Thierry LÉVY. Yang-mills measure on compact surfaces. Mem. Amer. Math. Soc, To appear. Zbl1036.58009MR2006374
  6. [6] A.A. MIGDAL. Recursion equations in gauge field theories. Sov. Phys. JETP, 42(3):413-418, 1975. 
  7. [7] Ambar SENGUPTA. Gauge invariant functions of connections. Proc. Amer. Math. Soc, 121(3):897-905, 1994. Zbl0823.58007MR1215205
  8. [8] Ambar SENGUPTA. Gauge theory on compact-surfaces. Mem. Amer. Math. Soc, 126(6 00):viii+85, 1997, Zbl0873.58076MR1346931
  9. [9] Edward WITTEN. On quantum gauge theories in two dimensions. Comm. Math. Phys., 141(1): 153-209, 1991. Zbl0762.53063MR1133264
  10. [10] Edward WITTEN. Two-dimensional gauge theories revisited. J. Geom. Phys., 9(4):303-368, 1992. Zbl0768.53042MR1185834

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