Arrangement of hyperplanes. I. Rational functions and Jeffrey-Kirwan residue

Michel Brion; Michèle Vergne

Annales scientifiques de l'École Normale Supérieure (1999)

  • Volume: 32, Issue: 5, page 715-741
  • ISSN: 0012-9593

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Brion, Michel, and Vergne, Michèle. "Arrangement of hyperplanes. I. Rational functions and Jeffrey-Kirwan residue." Annales scientifiques de l'École Normale Supérieure 32.5 (1999): 715-741. <http://eudml.org/doc/82500>.

@article{Brion1999,
author = {Brion, Michel, Vergne, Michèle},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {arrangement of hyperplane; rational function; Jeffrey-Kirwan residue},
language = {eng},
number = {5},
pages = {715-741},
publisher = {Elsevier},
title = {Arrangement of hyperplanes. I. Rational functions and Jeffrey-Kirwan residue},
url = {http://eudml.org/doc/82500},
volume = {32},
year = {1999},
}

TY - JOUR
AU - Brion, Michel
AU - Vergne, Michèle
TI - Arrangement of hyperplanes. I. Rational functions and Jeffrey-Kirwan residue
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1999
PB - Elsevier
VL - 32
IS - 5
SP - 715
EP - 741
LA - eng
KW - arrangement of hyperplane; rational function; Jeffrey-Kirwan residue
UR - http://eudml.org/doc/82500
ER -

References

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  1. [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. Zbl0926.52016MR98e:52008
  2. [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. Zbl0619.33004MR88m:33006
  3. [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. Zbl0837.57028MR97k:58063
  4. [JK1] L. C. JEFFREY, F. C. KIRWAN, Localisation for non abelian group actions, Topology Vol. 34 (1995), 291-327. Zbl0833.55009MR97g:58057
  5. [JK2] L. C. JEFFREY, F. C. KIRWAN, Localization and the quantization conjecture, Topology Vol. 36 (1997) 647-693. Zbl0876.55007MR98e:58088
  6. [OT] P. ORLIK, H. TERAO, Arrangements of Hyperplanes. Grundlehren der Mathematischen Wissenschaften Vol. 300, Springer-Verlag, Berlin, 1992. Zbl0757.55001MR94e:52014
  7. [S] A. SZENES, Iterated residues and multiple Bernouilli polynomials, hep-th/ 9707114 ; International Mathematical Research Notes, to appear. 

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