STRATIFICATION OF HERMITIAN MATRICES AND THE ALEXANDER MAPPING

Authors
SHAPIRO M VAINSHTEIN A
Citation
M. Shapiro et A. Vainshtein, STRATIFICATION OF HERMITIAN MATRICES AND THE ALEXANDER MAPPING, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(12), 1995, pp. 1599-1604
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
12
Year of publication
1995
Pages
1599 - 1604
Database
ISI
SICI code
0764-4442(1995)321:12<1599:SOHMAT>2.0.ZU;2-W
Abstract
The space of Hermitian matrices is stratified according to the multipl icities of the eigenvalues. This stratification is responsible for the quantum Hall effect. We study the simplest properties of this stratif ication: we give explicit expressions for the Poincare duality and the Alexander mapping, and prove that the spectral sequence generated by the filtration by matrices having at most i different eigenvalues dege nerates in term E(2).