On the fundamental group of open Richardson varieties Institutional Repository Document uri icon

abstract

  • We compute the fundamental group of an open Richardson variety in the manifold of complete flags that corresponds to a partial flag manifold. Rietsch showed that these log Calabi-Yau varieties underlie a Landau-Ginzburg mirror for the Langlands dual partial flag manifold, and our computation verifies a prediction of Hori for this mirror. It is log Calabi-Yau as it isomorphic to the complement of the Knutson-Lam-Speyer anti-canonical divisor for the partial flag manifold. We also determine explicit defining equations for this divisor.

author list (cited authors)

  • Li, C., Sottile, F., & Zhang, C.

complete list of authors

  • Li, Changzheng||Sottile, Frank||Zhang, Chi

publication date

  • November 2019