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alg-geomApr 16, 1995
26
citations (OpenAlex)
authors
  • Jun Li
  • Gang Tian
arXiv abstractPDF
paper

The quantum cohomology of homogeneous varieties

arXiv:alg-geom/9504009

Abstract

We established the associativity of the quantum cohomologies of homogeneous varieties by using degeneration method in algebraic geometry.

36 pages with 0 figures, AMSTeX

Cited by in corpus (15)

  • On the Structure of the Small Quantum Cohomology Rings of Projective Hypersurfaces
  • Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds I
  • Recursive Formulas for the Characteristic Numbers of Rational Plane Curves
  • The quantum cohomology of blow-ups of P^2 and enumerative geometry
  • On Quantum Cohomology Rings for Hypersurfaces in CPN−1
  • Quantum cohomology of projective bundles over P^n
  • The S1 fixed points in Quot-schemes and mirror principle computations
  • Quantum cohomology of flag varieties
  • S1-fixed-points in hyper-Quot-schemes and an exact mirror formula for flag manifolds from the extended mirror principle diagram
  • Quantum cohomology of the Lagrangian Grassmannian
  • Lecture notes on quantum cohomology of the flag manifold
  • Quantum cohomology of orthogonal Grassmannians
  • Functorial relationships between quantum cohomology of complete and partial flag varieties
  • On the Hilbert scheme of the moduli space of vector bundles over an algebraic curve
  • Contact Cohomology of the Projective Plane
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