3 papers
math.CO2026
A quadratic form generalization of rational dinv
Yifeng Huang
We introduce a quadratic form on the space of functions on the gap poset of the numerical semigroup . We prove combinatorially that when evaluated on th…
math.CO2025
Lattices in and spiral shifting operators
Yifeng Huang, Ruofan Jiang
We investigate the algebra and combinatorics of an analogue of the Hermite normal form that classifies finite-index submodules of . We identity both normal form…
math.AG2024
Cohomology of configuration spaces on punctured varieties
Yifeng Huang
In the theory of configuration spaces, "splitting" usually refers to the phenomenon that the configuration spaces on a manifold and those on its punctured version are closely relat…