A remark on bilinear systems and moduli spaces of instantons
type: Item
instance of: scholarly article
title: A remark on bilinear systems and moduli spaces of instantons
zbMATH Open document ID: 0646.93015
DOI: 10.1016/0167-6911(87)90064-8
published in: Systems \& Control Letters
publication date: 1987-01-01T00:00:00Z
review text: The author gives an explicit equation for the moduli space of framed instantons as a quasiaffine variety. This is obtained identifying intantons with bilinear systems and using the Hankel matrices. The paper is motivated by a paper of \textit{U. Helmke} [IMA J. Math. Control. Inf. 3, 151-166 (1986; Zbl 0633.93018)] in which relations and analogies between linear control theory and the moduli space of instantons for Yang-Mills equations are investigated.
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 16W60
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 14L17
Mathematics Subject Classification ID: 15A72
Mathematics Subject Classification ID: 16Gxx
Mathematics Subject Classification ID: 93B20
Mathematics Subject Classification ID: 81T08
zbMATH DE Number: 4055461
zbMATH Keywords: moduli space of framed instantons
zbMATH Keywords: bilinear systems
zbMATH Keywords: Hankel matrices
zbMATH Keywords: Yang-Mills equations
reviewed by: Rosa Maria Bianchini
MaRDI profile type: Publication
full work available at URL: 0167-6911(87)90064-8
OpenAlex ID: W1970122508
cites work: Instantons and geometric invariant theory
cites work: Q4079524
cites work: Linear Dynamical Systems and Instantons in Yang-Mills Theory
cites work: Q5623842
cites work: Matrices de Hankel
cites work: Polynomial response maps
cites work: Realization theory of discrete-time nonlinear systems: Part I-The bounded case
cites work: On first-order equations for multidimensional filters
author: Eduardo D. Sontag
description: scientific article; zbMATH DE number 4055461