8 citations · 44 across the 22 of their papers we have counts for
22 papers
Deformation cone of Tesler polytopes
Yonggyu Lee, Fu Liu
For , the Tesler polytope $\tes_{n}(\boldsymbol{a})$ is the set of upper triangular matrices with non-negative entries whose hook sum vector is…
Quantum Supergroup , Scasimir Operators, and Dickson polynomials
Fu Liu, Naihong Hu, Naihuan Jing
We study the center of the two-parameter quantum supergroup using the Dickson polynomial. We show that the Scasimir operator is completely determined by the …
The permuto-associahedron revisited
Federico Castillo, Fu Liu
A classic problem connecting algebraic and geometric combinatorics is the realization problem: given a poset, determine whether there exists a polytope whose face lattice is the po…
Ehrhart positivity of Tesler polytopes and Berline-Vergne's valuation
Yonggyu Lee, Fu Liu
For $\ba \in \R_{\geq 0}^{n}$, the Tesler polytope $\tes_{n}(\ba)$ is the set of upper triangular matrices with non-negative entries whose hook sum vector is $\ba$. Motivated by a…
On the Todd Class of the Permutohedral variety
Federico Castillo, Fu Liu
In the special case of braid fans, we give a combinatorial formula for the Berline-Vergne's construction for an Euler-Maclaurin type formula that computes number of lattice points…
The strong maximal rank conjecture and moduli spaces of curves
Fu Liu, Brian Osserman, Montserrat Teixidor i Bigas +1
Building on recent work of the authors, we use degenerations to chains of elliptic curves to prove two cases of the Aprodu-Farkas strong maximal rank conjecture, in genus and…