4 papers
An elaborate new proof of Cayley's formula
Esther Banaian, Anh Trong Nam Hoang, Elizabeth Kelley +4
We construct a bijection between certain Deodhar components of a braid variety constructed from an affine Kac-Moody group of type and vertex-labeled trees on vertices…
Fox-Neuwirth cells, quantum shuffle algebras, and character sums of the resultant
Anh Trong Nam Hoang
We give an upper bound on character sums of the resultant over pairs of monic square-free polynomials of given degrees, answering a question of Ellenberg and Shusterman in the quad…
Bender-Knuth involutions on linear extensions of posets
Judy Hsin-Hui Chiang, Anh Trong Nam Hoang, Matthew Kendall +4
We study the permutation group generated by Bender-Knuth moves on linear extensions of a poset , an analog of the Berenstein-Kirillov group on column-strict tab…
Fox-Neuwirth cells, quantum shuffle algebras, and the homology of type-B Artin groups
Anh Trong Nam Hoang
In this paper, we will develop a family of braid representations of Artin groups of type B from braided vector spaces, and identify the homology of these groups with these coeffici…