Lower Bounds for Numbers of Real Self-Dual Spaces in Problems of Schubert Calculus
| dc.contributor.author | Lu, Kang | |
| dc.contributor.department | Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2018-11-30T18:02:28Z | |
| dc.date.available | 2018-11-30T18:02:28Z | |
| dc.date.issued | 2018 | |
| dc.description.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. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Lu, K. (2018). Lower Bounds for Numbers of Real Self-Dual Spaces in Problems of Schubert Calculus. Symmetry, Integrability and Geometry: Methods and Applications. https://doi.org/10.3842/SIGMA.2018.046 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/17874 | |
| dc.language.iso | en | en_US |
| dc.publisher | National Academy of Science of Ukraine | en_US |
| dc.relation.isversionof | 10.3842/SIGMA.2018.046 | en_US |
| dc.relation.journal | Symmetry, Integrability and Geometry: Methods and Applications | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | ArXiv | en_US |
| dc.subject | real Schubert calculus | en_US |
| dc.subject | self-dual spaces | en_US |
| dc.subject | Bethe ansatz | en_US |
| dc.title | Lower Bounds for Numbers of Real Self-Dual Spaces in Problems of Schubert Calculus | en_US |
| dc.type | Article | en_US |