The B-model connection and mirror symmetry for Grassmannians

• Published in: Advances in mathematics (New York. 1965) Vol. 366; p. 107027
• Main Authors: Marsh, R.J., Rietsch, K.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 03.06.2020
• Subjects: Cluster algebras; Gauss-Manin system; Grassmannian quantum cohomology; Gromov-Witten theory; Landau-Ginzburg model; Mirror symmetry; Gromov-Witten theory; Gauss-Manin system; Landau-Ginzburg model; Grassmannian quantum cohomology; Mirror symmetry; Cluster algebras

We consider the Grassmannian X=Grn−k(Cn) and describe a ‘mirror dual’ Landau-Ginzburg model (Xˇ∘,Wq:Xˇ∘→C), where Xˇ∘ is the complement of a particular anti-canonical divisor in a Langlands dual Grassmannian Xˇ, and we express W succinctly in terms of Plücker coordinates. First of all, we show this...