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Can I read Toda lattices with indefinite metric II: Topology of the iso-spectral manifolds on EtoBox?
Toda lattices with indefinite metric II: Topology of the iso-spectral manifolds by Yuji Kodama; Jian Ye is a Physics and Astronomy article available to read on EtoBox.
What is Toda lattices with indefinite metric II: Topology of the iso-spectral manifolds about?
We consider the iso-spectral real manifolds of tridiagonal Hessenberg matrices with distinct real eigenvalues. The manifolds are described by the iso-spectral flows of indefinite Toda lattice equations introduced by the authors [Physica D 91 (1996) where sk = +l, which blow up in finite time except the case with all sksk+l = 1. We compactify the manifolds by adding infinities according to the Toda flows. The resulting manifolds are shown to be nonorientable for N > 2, and the symmetry group is the semi-direct product of (7/2)N-1 and the permutation group SN. These properties identify themselves with "small covers" introduced by Davis and Januszkiewicz [Duke Math. J. 62 (1991) 417-451]. As a corollary of our construction, we give a formula for the total number of zeros for a system of exponential polynomials generated as Hankel determinants.
Who reads Toda lattices with indefinite metric II: Topology of the iso-spectral manifolds?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- Yuji Kodama; Jian Ye
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0167-2789)
- Published
- 1998
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)