3 citations · 7 across the 6 of their papers we have counts for
7 papers
Global transfer systems and endopurity of subgroups
Scott Balchin, Miguel Barrero
Global transfer systems are combinatorial objects that parametrize intermediate levels of structures and properties in globally equivariant homotopy theory. In this paper we study…
Nonadiabatic Wave-Packet Dynamics: Nonadiabatic Metric, Quantum Geometry, and Gravitational Analogy
Yafei Ren, M. E. Sanchez Barrero
We develop a unified theory for the nonadiabatic wave-packet dynamics of Bloch electrons subject to slowly varying spatial and temporal perturbations. Extending the conventional wa…
Global representation theory: Homological foundations
Miguel Barrero, Tobias Barthel, Luca Pol +2
A global representation is a compatible collection of representations of the outer automorphism groups of the groups belonging to some collection of finite groups . Gl…
On minimal bases in homotopical combinatorics
Katharine Adamyk, Scott Balchin, Miguel Barrero +3
We present a development in the computational suite for the study of operads for a finite group . This progress is achieved using the simple yet powerful observation…
Global transfer systems of abelian compact Lie groups
Miguel Barrero
Global transfer systems are equivalent to global -operads, which parametrize different levels of commutativity in globally equivariant homotopy theory, where objects have…
Global -operads
Miguel Barrero
We define -operads in the globally equivariant setting and completely classify them. These global -operads model intermediate levels of equivariant commutativit…
Operads in Unstable Global Homotopy Theory
Miguel Barrero
We study operads in unstable global homotopy theory, which is the homotopy theory of spaces with compatible actions by all compact Lie groups. We show that the theory of these oper…