Giambelli formulae for the equivariant quantum cohomology of the Grassmannian

By Leonardo Constantin Mihalcea. 2005

58 citations recorded by the source corpus.

We find presentations by generators and relations for the equivariant quantum cohomology of the Grassmannian. For these presentations, we also find determinantal formulae for the equivariant quantum Schubert classes. To prove this, we use the theory of factorial Schur functions and a characterization of the equivariant quantum cohomology ring.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2e16d1c32ecb2fcf60211098472f55cad4fbaaf8

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In Discrete Mathematics and Combinatorics

1. H. Naruse
2. Takeshi Ikeda
3. Leonardo Constantin Mihalcea

In Geometry and Topology

1. H. Naruse
2. Takeshi Ikeda
3. Leonardo Constantin Mihalcea

In Mathematical Physics

1. H. Naruse
2. Takeshi Ikeda
3. Leonardo Constantin Mihalcea

Citations in the corpus

• Double Schubert polynomials for the classical groups (2008, methodology): “In type A, this problem was treated by the second author in [35], where the Kempf–Laksov formula for degeneracy loci is identified with the Jacobi–Trudi type formula for the factorial (ordinary) Schur function.”