Exceptional collections on isotropic Grassmannians
نویسندگان
چکیده
منابع مشابه
Exceptional Collections for Grassmannians of Isotropic Lines
We construct a full exceptional collection of vector bundles in the derived category of coherent sheaves on the Grassmannian of isotropic two-dimensional subspaces in a symplectic vector space of dimension 2n for all n.
متن کاملSymmetric Subgroup Actions on Isotropic Grassmannians
Let G be the group preserving a nondegenerate sesquilinear form B on a vector space V , and H a symmetric subgroup of G of the type G1 × G2. We explicitly parameterize the H-orbits in GrG(r), the Grassmannian of r-dimensional isotropic subspaces of V , by a complete set of H-invariants. We describe the Bruhat order in terms of the majorization relationship over a diagram of these H-invariants. ...
متن کاملQuantum Cohomology of Isotropic Grassmannians
Let G be a classical Lie group and P a maximal parabolic subgroup. We describe a quantum Pieri rule which holds in the small quantum cohomology ring of G/P . We also give a presentation of this ring in terms of special Schubert class generators and relations. This is a survey paper which reports on joint work with Anders S. Buch and Andrew Kresch.
متن کاملIncompressible Grassmannians of Isotropic Subspaces
We study 2-incompressible Grassmannians of isotropic subspaces of a quadratic form, of a hermitian form over a quadratic extension of the base field, and of a hermitian form over a quaternion algebra.
متن کاملDibaryons from Exceptional Collections
We discuss aspects of the dictionary between brane configurations in del Pezzo geometries and dibaryons in the dual superconformal quiver gauge theories. The basis of fractional branes defining the quiver theory at the singularity has a K-theoretic dual exceptional collection of bundles which can be used to read off the spectrum of dibaryons in the weakly curved dual geometry. Our prescription ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2016
ISSN: 1435-9855
DOI: 10.4171/jems/596