Arrangement of hyperplanes. I. Rational functions and Jeffrey-Kirwan residue
Brion, Michel ; Vergne, Michèle
Annales scientifiques de l'École Normale Supérieure, Tome 32 (1999), p. 715-741 / Harvested from Numdam
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@article{ASENS_1999_4_32_5_715_0,
     author = {Brion, Michel and Vergne, Mich\`ele},
     title = {Arrangement of hyperplanes. I. Rational functions and Jeffrey-Kirwan residue},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {32},
     year = {1999},
     pages = {715-741},
     doi = {10.1016/s0012-9593(01)80005-7},
     mrnumber = {2001e:32039},
     zbl = {0945.32003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_1999_4_32_5_715_0}
}

Brion, Michel; Vergne, Michèle. Arrangement of hyperplanes. I. Rational functions and Jeffrey-Kirwan residue. Annales scientifiques de l'École Normale Supérieure, Tome 32 (1999) pp. 715-741. doi : 10.1016/s0012-9593(01)80005-7. http://gdmltest.u-ga.fr/item/ASENS_1999_4_32_5_715_0/

[BV] M. Brion, M. Vergne, Residue formulae, vector partition functions and lattice points in rational polytopes, J. Amer. Math. Soc. Vol. 10 (1997), 797-833. | MR 98e:52008 | Zbl 0926.52016

[GZ] I. M. Gelfand, A. Zelevinskii, Algebraic and combinatorial aspects of the general theory of hypergeometric functions, Functional Analysis Appl. Vol. 20 (1986), 183-197. | MR 88m:33006 | Zbl 0619.33004

[GK] V. Guillemin, J. Kalkman, The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology, J. Reine Angew. Math. Vol. 470 (1996), 123-142. | MR 97k:58063 | Zbl 0837.57028

[JK1] L. C. Jeffrey, F. C. Kirwan, Localisation for non abelian group actions, Topology Vol. 34 (1995), 291-327. | MR 97g:58057 | Zbl 0833.55009

[JK2] L. C. Jeffrey, F. C. Kirwan, Localization and the quantization conjecture, Topology Vol. 36 (1997) 647-693. | MR 98e:58088 | Zbl 0876.55007

[OT] P. Orlik, H. Terao, Arrangements of Hyperplanes. Grundlehren der Mathematischen Wissenschaften Vol. 300, Springer-Verlag, Berlin, 1992. | MR 94e:52014 | Zbl 0757.55001

[S] A. Szenes, Iterated residues and multiple Bernouilli polynomials, hep-th/ 9707114 ; International Mathematical Research Notes, to appear.