2 citations · 2 across the 5 of their papers we have counts for
6 papers
A construction of polyptych lattices via a pair of Gorenstein PL cones
Laura Escobar, Megumi Harada, Christopher Manon
The theory of polyptych lattices seeks to incorporate, into a single combinatorial framework, the piecewise-linear bijections (mutations) that appear in many theories that generali…
Dimensions of type Hessenberg varieties over a fixed sheet
Megumi Harada, Martha Precup, Colleen Robichaux
Hessenberg varieties are subvarieties of the flag variety parameterized by a Hessenberg function and a ma…
Gorenstein-Fano polytopes and compactifications of rank 2 polyptych lattices
Adrian Cook, Laura Escobar, Megumi Harada +1
The theory of polyptych lattices was introduced by Escobar, Harada, and Manon, in an effort to simultaneously generalize combinatorial and geometric phenomena seen in toric, cluste…
Geometric families of degenerations from mutations of polytopes
Laura Escobar, Megumi Harada, Christopher Manon
We introduce the notion of a polyptych lattice, which encodes a collection of lattices related by piecewise linear bijections. We also define and study PL (polyptych-lattice) polyt…
Spherical amoebae and a spherical logarithm map
Victor Batyrev, Megumi Harada, Johannes Hofscheier +1
Let be a connected reductive algebraic group over with a maximal compact subgroup . Let be a (quasi-affine) spherical homogeneous space. In the first part…
Upper-triangular linear relations on multiplicities and the Stanley-Stembridge conjecture
Megumi Harada, Martha Precup
In 2015, Brosnan and Chow, and independently Guay-Paquet, proved the Shareshian-Wachs conjecture, which links the Stanley-Stembridge conjecture in combinatorics to the geometry of…