3 citations · 7 across the 6 of their papers we have counts for
6 papers
Gromov-Witten invariants and quantum cohomology of Grassmannians
Harry Tamvakis
This is the written version of my five lectures at the Banach Center mini-school on "Schubert Varieties", in Warsaw, May 18-22, 2003.
The Hodge star operator on Schubert forms
Klaus Kuennemann, Harry Tamvakis
Let X=G/P be a homogeneous space of a complex semisimple Lie group G equipped with a hermitian metric. We study the action of the Hodge star operator on the space of harmonic diffe…
Littlewood-Richardson rules for Grassmannians
Anders Skovsted Buch, Andrew Kresch, Harry Tamvakis
We give elementary and short proofs of the Littlewood-Richardson rules for type A Grassmannians and maximal isotropic Grassmannians, based on the corresponding Pieri rules.
Gromov-Witten invariants on Grassmannians
Anders Skovsted Buch, Andrew Kresch, Harry Tamvakis
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 sympl…
Quantum cohomology of orthogonal Grassmannians
Andrew Kresch, Harry Tamvakis
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 th…
Quantum cohomology of the Lagrangian Grassmannian
Andrew Kresch, Harry Tamvakis
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 cohomol…