38 citations · 107 across the 6 of their papers we have counts for
8 papers
What do homotopy algebras form?
Vasily A. Dolgushev, Alexander E. Hoffnung, Christopher L. Rogers
In paper arXiv:1406.1744, we constructed a symmetric monoidal category whose objects are shifted (and filtered) L-infinity algebras. Here, we fix a cooperad and show…
Formal Hecke algebras and algebraic oriented cohomology theories
Alex Hoffnung, José Malagón-Lopez, Alistair Savage +1
In the present paper we generalize the construction of the nil Hecke ring of Kostant-Kumar to the context of an arbitrary algebraic oriented cohomology theory of Levine-Morel and P…
Spans in 2-Categories: A monoidal tricategory
Alexander E. Hoffnung
We present Trimble's definition of a tetracategory and prove that the spans in (strict) 2-categories with certain limits have the structure of a monoidal tricategory, defined as a…
The Hecke Bicategory
Alexander E. Hoffnung
We present an application of the program of groupoidification leading up to a sketch of a categorification of the Hecke algebroid --- the category of permutation representations of…
Higher-Dimensional Algebra VII: Groupoidification
John C. Baez, Alexander E. Hoffnung, Christopher D. Walker
Groupoidification is a form of categorification in which vector spaces are replaced by groupoids, and linear operators are replaced by spans of groupoids. We introduce this idea wi…
Nilpotency in type A cyclotomic quotients
Alexander E. Hoffnung, Aaron D. Lauda
We prove a conjecture made by Brundan and Kleshchev on the nilpotency degree of cyclotomic quotients of rings that categorify one-half of quantum sl(k).