Corpus ID: 210165080

Residual categories for (co)adjoint Grassmannians in classical types

  title={Residual categories for (co)adjoint Grassmannians in classical types},
  author={A. V. Kuznetsov and Maxim Smirnov},
  • A. V. Kuznetsov, Maxim Smirnov
  • Published 2020
  • Mathematics
  • In our previous paper we suggested a conjecture relating the structure of the small quantum cohomology ring of a smooth Fano variety to the structure of its derived category of coherent sheaves. Here we generalize this conjecture, make it more precise, and support by the examples of (co)adjoint homogeneous varieties of simple algebraic groups of Dynkin types $A_n$ and $D_n$, i.e., flag varieties $Fl(1,n;n+1)$ and isotropic orthogonal Grassmannians $OG(2,2n)$; in particular we construct on each… CONTINUE READING

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