Matrix divisors on Riemann surfaces and Lax operator algebras

Sheinman, Oleg K.

doi:10.1090/mosc/267

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Other1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then F m = V . We set F i = V also for i > m. It has been shown in course of the proof of [11,Lemma 3.4] that for a (locally) holomorphic vector function ψ 0 the following expansion takes place:…”

Section: 1mentioning

confidence: 99%

Inverse scattering method for Hitchin systems of types $B_n$, $C_n$, $D_n$, and their generalizations

Sheinman

2020

Preprint

Self Cite

View full text Add to dashboard Cite

We give a solution of the Inverse Scattering Problem for integrable systems with a finite number degrees of freedom, admitting a Lax representation with spectral parameter on a Riemann surface. While conventional approaches deal with the systems with GL(n) symmetry, we focus on the problems arising in the case of symmetry with respect to a semi-simple group. Our main results apply to Hitchin systems of the types B n , C n , D n .

show abstract

Section: 1mentioning

confidence: 99%