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

Annales Scientifiques de l'Ecole Normale Superieure

Volumn 32, Issue 5, 1999, Pages 715-741

  Brion, Michel ^a   Vergne, Michèle ^b  

^a Institut Fourrier   (France)

^b ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033195733     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0012-9593(01)80005-7     Document Type: Article

References (7)

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.
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.
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.
4. [JK1] L. C. Jeffrey, F. C. Kirwan, Localisation for non abelian group actions, Topology Vol. 34 (1995), 291-327.
5. [JK2] L. C. Jeffrey, F. C. Kirwan, Localization and the quantization conjecture, Topology Vol. 36 (1997) 647-693.
6. [OT] P. Orlik, H. Terao, Arrangements of hyperplanes. Grundlehren der Mathematischen Wissenschaften Vol. 300, Springer-Verlag, Berlin, 1992.
7. [S] A. Szenes, Iterated residues and multiple Bernouilli polynomials, hep-th/ 9707114; International Mathematical Research Notes, to appear.