10 citations · 20 across the 4 of their papers we have counts for
9 papers
Endomorphism operads of functors
Gabriel C. Drummond-Cole, Joseph Hirsh, Damien Lejay
We consider the endomorphism operad of a functor, which is roughly the object of natural transformations from (monoidal) powers of that functor to itself. There are many examples f…
Betti numbers of unordered configuration spaces of small graphs
Gabriel C. Drummond-Cole
The purpose of this document is to provide data about known Betti numbers of unordered configuration spaces of small graphs in order to guide research and avoid duplicated effort.…
An action of the Polishchuk differential operator via punctured surfaces
Gabriel C. Drummond-Cole, Mehdi Tavakol
For a family of Jacobians of smooth pointed curves there is a notion of tautological algebra. There is an action of on this algebra. We define and study a lifting…
Representations are adjoint to endomorphisms
Gabriel C. Drummond-Cole, Joseph Hirsh, Damien Lejay
The functor that takes a ring to its category of modules has an adjoint if one remembers the forgetful functor to abelian groups: the endomorphism ring of linear natural transforma…
Edge stabilization in the homology of graph braid groups
Byung Hee An, Gabriel C. Drummond-Cole, Ben Knudsen
We introduce a novel type of stabilization map on the configuration spaces of a graph, which increases the number of particles occupying an edge. There is an induced action on homo…
A non-crossing word cooperad for free homotopy probability theory
Gabriel C. Drummond-Cole
We construct a cooperad which extends the framework of homotopy probability theory to free probability theory. The cooperad constructed, which seems related to the sequence and cac…