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Cycle groups for Artin stacks
We construct an algebraic homology functor for Artin stacks of finite type over a field, and we develop intersection-theoretic properties.
Quantum Pieri rules for isotropic Grassmannians
We study the three point genus zero Gromov-Witten invariants on the Grassmannians which parametrize non-maximal isotropic subspaces in a vector space equipped with a nondegenerate symmetric orExpand
On the geometry of Deligne-Mumford stacks
General structure results about Deligne–Mumford stacks are summarized, applicable to stacks of finite type over a field. When the base field has characteristic 0, a class of “(quasi-)projective”Expand
Stable Grothendieck polynomials and K-theoretic factor sequences
We formulate a nonrecursive combinatorial rule for the expansion of the stable Grothendieck polynomials of Fomin and Kirillov (Proc Formal Power Series Alg Comb, 1994) in the basis of stableExpand
Quantum cohomology of the Lagrangian Grassmannian
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)Expand
On Coverings of Deligne–Mumford Stacks and Surjectivity of the Brauer Map
The paper proves a result on the existence of finite flat scheme covers of Deligne–Mumford stacks. This result is used to prove that a large class of smooth Deligne–Mumford stacks with affine moduliExpand
Gromov-Witten invariants on Grassmannians
We prove that any three-point genus zero Gromov-Witten invariant on a type A Grassmannian is equal to a classical intersection number on a two-step flag variety. We also give symplectic andExpand
Functoriality in intersection theory and a conjecture of Cox
The circuitry is used, for identifying television transmitters, in a television set receiving synchronizing signals and line flyback pulses characteristic of television transmitters, particularly forExpand
Canonical rational equivalence of intersections of divisors
One way to define an operation in intersection theory is to define a map on the group of algebraic cycles together with a map on the group of rational equivalences which commutes with the boundaryExpand
Quantum cohomology of orthogonal Grassmannians
Let V be a vector space with a non-degenerate symmetric form and OG be the orthogonal Grassmannian which parametrizes maximal isotropic subspaces in V. We give a presentation for the (small) quantumExpand