Kim, Bumsig Quantum cohomology of partial flag manifolds and a residue formula for their intersection pairings. (English) Zbl 0849.14019 Int. Math. Res. Not. 1995, No. 1, 1-16 (1995). Under the assumption that the equivariant quantum cohomology of a Kähler manifold is well defined, associative, and a weighted-homogeneous ordinary equivariant \(q\)-deformation of ordinary cohomology, the author computes the equivariant quantum cohomology of partial flag manifolds. The author also derives a general result for some manifolds which present their quantum cohomology as regular functions on complete intersections. Reviewer: V.Lakshmibai (Boston) Cited in 23 Documents MSC: 14M15 Grassmannians, Schubert varieties, flag manifolds 57R91 Equivariant algebraic topology of manifolds 81T99 Quantum field theory; related classical field theories 53C55 Global differential geometry of Hermitian and Kählerian manifolds Keywords:equivariant quantum cohomology of partial flag manifolds PDFBibTeX XMLCite \textit{B. Kim}, Int. Math. Res. Not. 1995, No. 1, 1--16 (1995; Zbl 0849.14019) Full Text: DOI arXiv