22 citations · 39 across the 9 of their papers we have counts for
9 papers
2-Rig Extensions and the Splitting Principle
John C. Baez, Joe Moeller, Todd Trimble
Classically, the splitting principle says how to pull back a vector bundle in such a way that it splits into line bundles and the pullback map induces an injection on -theory. H…
Extensions of representation stable categories
Joe Moeller
A category of FI type is one which is sufficiently similar to finite sets and injections so as to admit nice representation stability results. Several common examples admit a Groth…
Compositional Thermostatics
John C. Baez, Owen Lynch, Joe Moeller
We define a thermostatic system to be a convex space of states together with a concave function sending each state to its entropy, which is an extended real number. This definition…
Schur Functors and Categorified Plethysm
John C. Baez, Joe Moeller, Todd Trimble
It is known that the Grothendieck group of the category of Schur functors is the ring of symmetric functions. This ring has a rich structure, much of which is encapsulated in the f…
The Grothendieck Construction in Categorical Network Theory
Joe Moeller
In this thesis, we present a flexible framework for specifying and constructing operads which are suited to reasoning about network construction. The data used to present these ope…
Network Models from Petri Nets with Catalysts
John C. Baez, John Foley, Joe Moeller
Petri networks and network models are two frameworks for the compositional design of systems of interacting entities. Here we show how to combine them using the concept of a "catal…
Monoidal Grothendieck construction
Joe Moeller, Christina Vasilakopoulou
We lift the standard equivalence between fibrations and indexed categories to an equivalence between monoidal fibrations and monoidal indexed categories, namely weak monoidal pseud…
Noncommutative Network Models
Joe Moeller
Network models, which abstractly are given by lax symmetric monoidal functors, are used to construct operads for modeling and designing complex networks. Many common types of netwo…
Network Models
John C. Baez, John Foley, Joe Moeller +1
Networks can be combined in various ways, such as overlaying one on top of another or setting two side by side. We introduce "network models" to encode these ways of combining netw…