12 citations · 13 across the 3 of their papers we have counts for
5 papers
Sheaves, principal bundles, and Čech cohomology for diffeological spaces
Derek Krepski, Jordan Watts, Seth Wolbert
The purpose of this note is to define sheaves for diffeological spaces and give a construction of their Čech cohomology. As an application, we prove that the first degree Čech coho…
Weak representations, representations up to homotopy, and VB-groupoids
Seth Wolbert
In this paper, I introduce weak representations of a Lie groupoid . I also show that there is an equivalence of categories between the categories of 2-term representations up to…
The stability of fixed points for a Kuramoto model with Hebbian interactions
Jared C. Bronski, Yizhang He, Xinye Li +3
We consider a variation of the Kuramoto model with dynamic coupling, where the coupling strengths are allowed to evolve in response to the phase difference between the oscillators,…
Symplectic toric stratified spaces with isolated singularities
Seth Wolbert
The goal of this paper is to classify symplectic toric stratified spaces with isolated singularities. This extends a result of Burns, Guillemin, and Lerman which carries out this c…
Parallel Transport on Principal Bundles over Stacks
Brian Collier, Eugene Lerman, Seth Wolbert
In this paper we introduce a notion of parallel transport for principal bundles with connections over differentiable stacks. We show that principal bundles with connections over st…