On the quantum parameter in the quantum cohomology of a family of odd symplectic partial flag varieties

Fuente: arXiv
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Autores principales: Bean, Connor, Shank, Caleb, Shifler, Ryan M.
Formato: Preprint
Publicado: 2025
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author Bean, Connor
Shank, Caleb
Shifler, Ryan M.
author_facet Bean, Connor
Shank, Caleb
Shifler, Ryan M.
contents 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 $q_1q_2\cdots q_m$ appears $m$ times in the quantum product $τ_{Div_i} \star τ_{id}$ when expressed as a sum in terms of the Schubert basis.
format Preprint
id arxiv_https___arxiv_org_abs_2502_15550
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the quantum parameter in the quantum cohomology of a family of odd symplectic partial flag varieties
Bean, Connor
Shank, Caleb
Shifler, Ryan M.
Algebraic Geometry
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 $q_1q_2\cdots q_m$ appears $m$ times in the quantum product $τ_{Div_i} \star τ_{id}$ when expressed as a sum in terms of the Schubert basis.
title On the quantum parameter in the quantum cohomology of a family of odd symplectic partial flag varieties
topic Algebraic Geometry
url https://arxiv.org/abs/2502.15550