30 citations · 53 across the 16 of their papers we have counts for
19 papers
Poisson blow-ups and the adjoint quotient
Peter Crooks, Iva Halacheva
We leverage Polishchuk's Poisson blow-up criterion in the context of algebro-geometric integrable systems. In more detail, one may associate an integrable system $τ:\mathfrak{X}\lo…
Genus Zero Kashiwara-Vergne Solutions from Braids
Zsuzsanna Dancso, Iva Halacheva, Guillaume Laplante-Anfossi +2
Using the language of moperads -- monoids in the category of right modules over an operad -- we reinterpret the Alekseev--Enriquez--Torossian construction of Kashiwara--Vergne (KV)…
Moduli Theory of the -Braid Arrangement
Vance Blankers, Emily Clader, Iva Halacheva +2
We describe a family of hyperplane arrangements depending on a positive integer parameter , which we refer to as the -braid arrangements, and which can be viewed as a general…
Cacti, Toggles, and Reverse Plane Partitions
Devin Brown, Balazs Elek, Iva Halacheva
The cactus group acts combinatorially on crystals via partial Schützenberger involutions. This action has been studied extensively in type and described via Bender-Knuth involu…
Computing Finite Type Invariants Efficiently
Dror Bar-Natan, Itai Bar-Natan, Iva Halacheva +1
We describe an efficient algorithm to compute finite type invariants of type by first creating, for a given knot with crossings, a look-up table for all subdiagrams of…
Kashiwara-Vergne solutions degree by degree
Zsuzsanna Dancso, Iva Halacheva, Guillaume Laplante-Anfossi +1
We show that solutions to the Kashiwara-Vergne problem can be extended degree by degree. This can be used to simplify the computation of a class of Drinfel'd associators, which und…