Vanishing Cycles and Cartan Eigenvectors

被引:0
|
作者
Brillon L. [1 ]
Ramazashvili R. [2 ]
Schechtman V. [1 ]
Varchenko A. [3 ]
机构
[1] Institut de Mathématiques de Toulouse, 118 route de Narbonne, Toulouse
[2] Laboratoire de Physique Théorique IRSAMC, Université de Toulouse, CNRS,UPS, Toulouse
[3] Mathematics Department, University of North Carolina, Chapel Hill, NC
基金
美国国家科学基金会;
关键词
Integrable field theory; Ising model in a magnetic field; Purely elastic scattering theory; Sebastiani–Thom theorem; Vanishing cycles;
D O I
10.1007/s40598-017-0065-y
中图分类号
学科分类号
摘要
Using the ideas coming from the singularity theory, we study the eigenvectors of the Cartan matrices of finite root systems, and of q-deformations of these matrices. © 2017, Institute for Mathematical Sciences (IMS), Stony Brook University, NY.
引用
收藏
页码:251 / 280
页数:29
相关论文
共 50 条
  • [1] VANISHING OF CHARACTERISTIC FORMS ON THE ORBITS OF THE CARTAN SUBGROUP
    DAMIANO, DB
    ADVANCES IN MATHEMATICS, 1982, 44 (03) : 313 - 317
  • [2] A result on vanishing cycles
    Berkovich, VG
    GOEMETRY AND COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES, 2001, (151): : 257 - 260
  • [3] VANISHING CYCLES ARE UNKNOTTED
    PERRON, B
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1989, 22 (02): : 227 - 253
  • [4] Iterated vanishing cycles
    Massey, David B.
    MANUSCRIPTA MATHEMATICA, 2013, 141 (3-4) : 699 - 716
  • [5] VANISHING CYCLES ARE UNKNOTTED
    PERRON, B
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 305 (19): : 823 - 825
  • [6] A FORMULA FOR VANISHING CYCLES
    DUBSON, AS
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1984, 299 (06): : 181 - 184
  • [7] VANISHING CYCLES ON GRASSMANNIANS
    BRESSLER, P
    FINKELBERG, M
    LUNTS, V
    DUKE MATHEMATICAL JOURNAL, 1990, 61 (03) : 763 - 777
  • [8] Vanishing cycles and mutation
    Seidel, P
    EUROPEAN CONGRESS OF MATHEMATICS, VOL II, 2001, 202 : 65 - 85
  • [9] Iterated vanishing cycles
    David B. Massey
    Manuscripta Mathematica, 2013, 141 : 699 - 716
  • [10] Vanishing cycles of matrix singularities
    Goryunov, Victor
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 103 (03): : 991 - 1015