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QUANTUM COHOMOLOGY OF THE LAGRANGIAN GRASSMANNIAN
LAGRANGIAN GRASSMANNIAN QUANTUM COHOMOLOGY
2015/12/17
Let V be a symplectic vector space and LG be the Lagrangian
Grassmannian which parametrizes maximal isotropic subspaces in V . We give
a presentation for the (small) quantum cohomology ring QH¤(LG) ...
QUANTUM COHOMOLOGY OF ORTHOGONAL GRASSMANNIANS
ORTHOGONAL GRASSMANNIANS QUANTUM COHOMOLOGY
2015/12/17
Let V be a vector space with a nondegenerate symmetric form and
OG be the orthogonal Grassmannian which parametrizes maximal isotropic
subspaces in V . We give a presentation for the (small) quantum...
GROMOV-WITTEN INVARIANTS AND QUANTUM COHOMOLOGY OF GRASSMANNIANS
GROMOV-WITTEN INVARIANTS QUANTUM COHOMOLOGY
2015/12/17
This is the written version of my ˉve lectures at the Banach Center
mini-school on `Schubert Varieties', in Warsaw, Poland, May 18{22, 2003.
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 i...
Let G be a semisimple complex algebraic group and P a parabolic subgroup of G.
The homogeneous space X = G=P is a projective complex manifold. My aim in
this lecture is to survey what is known about...
Towards motivic quantum cohomology of $\bar{M}_{0,S}$
motivic quantum cohomology Algebraic Geometry
2011/9/20
Abstract: We explicitly calculate some Gromov--Witten correspondences determined by maps of labeled curves of genus zero to the moduli spaces of labeled curves of genus zero. We consider these calcula...
Classical aspects of quantum cohomology of generalized flag varieties
Gromov-Witten invariants Quantum cohomology Flag varieties
2011/9/20
Abstract: We show that various genus zero Gromov-Witten invariants for flag varieties representing different homology classes are indeed the same. In particular, many of them are classical intersectio...
Quantum cohomology of the odd symplectic Grassmannian of lines
Quantum cohomology odd symplectic Grassmannian of lines
2011/2/23
Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional spaces. Here we compute the classical and quantum cohomology of the odd symplectic Grassmannian of line...
Deformations of chiral algebras and quantum cohomology of toric varieties
chiral algebras quantum cohomology toric varieties
2010/11/1
We reproduce the quantum cohomology of toric varieties (and of some hypersurfaces in projective spaces) as the cohomology of certain vertex algebras with differential. The deformation technique allows...