Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 046, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.046 (Mi sigma1345) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Lower Bounds for Numbers of Real Self-Dual Spaces in Problems of Schubert Calculus

Kang Lu

Department of Mathematical Sciences, Indiana University - Purdue University Indianapolis, 402 North Blackford St, Indianapolis, IN 46202-3216, USA
Full-text PDF (424 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2018.046
Abstract: The self-dual spaces of polynomials are related to Bethe vectors in the Gaudin model associated to the Lie algebras of types B and C. In this paper, we give lower bounds for the numbers of real self-dual spaces in intersections of Schubert varieties related to osculating flags in the Grassmannian. The higher Gaudin Hamiltonians are self-adjoint with respect to a nondegenerate indefinite Hermitian form. Our bound comes from the computation of the signature of this form.
Keywords: real Schubert calculus; self-dual spaces; Bethe ansatz; Gaudin model.
Funding agency Grant number
Zhejiang Provincial Natural Science Foundation of China LY14A010018
This work was partially supported by Zhejiang Province Science Foundation, grant No. LY14A010018.
Received: November 27, 2017; in final form May 7, 2018; Published online May 14, 2018
Bibliographic databases:
Document Type: Article
MSC: 14N99; 17B80; 82B23
Language: English
Citation: Kang Lu, “Lower Bounds for Numbers of Real Self-Dual Spaces in Problems of Schubert Calculus”, SIGMA, 14 (2018), 046, 15 pp.
Citation in format AMSBIB
\Bibitem{Lu18}
\by Kang~Lu
\paper Lower Bounds for Numbers of Real Self-Dual Spaces in Problems of Schubert Calculus
\jour SIGMA
\yr 2018
\vol 14
\papernumber 046
\totalpages 15
\mathnet{http://mi.mathnet.ru/sigma1345}
\crossref{https://doi.org/10.3842/SIGMA.2018.046}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000432034800001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85048292462}
Linking options:
  • https://www.mathnet.ru/eng/sigma1345
  • https://www.mathnet.ru/eng/sigma/v14/p46
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:207
    Full-text PDF :36
    References:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024