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math.AG2025
On the quantum parameter in the quantum cohomology of a family of odd symplectic partial flag varieties
Connor Bean, Caleb Shank, Ryan M. Shifler
We will consider a particular family of odd symplectic partial flag varieties denoted by $\mbox{IF}$. In the quantum cohomology ring $\mbox{QH}^*(\mbox{IF})$, we will show that $q_…
math.AG2025
Curve neighborhoods and combinatorial property for a family of odd symplectic partial flag manifolds
Connor Bean, Bradley Cruikshank, Ryan M. Shifler
Let be an odd dimensional complex vector space and $\mbox{IF}:=\mbox{IF}(1,2;E)$ be the family of odd symplectic partial flag manifold. In this paper we give a full description…
math.AG2025
On the spectral properties of the quantum cohomology of odd quadrics
Ryan M. Shifler, Stephanie Warman
Let $H^\bullet(\mbox{OG})$ be the quantum cohomology (specialized at ) of the dimensional quadric $\mbox{OG}$. We will calculate the characteristic polynomial of the li…