3 papers
math.GM2026
A Picard-Theoretic Brauer Object for Derived Smooth Manifolds
Yimu Mao, Christopher Tropp
Let be a derived smooth manifold in the sense of Spivak. After passing from the simplicial -structure sheaf to a connective spectral structure shea…
physics.class-ph2025
A Unified Variational Framework for Planar Elastica with General Distributed Loads
Yimu Mao, Christopher Tropp
We present a simple variational framework for planar elastica that enables distributed energies, such as gravitational loading or magnetic body torques, to be incorporated in a mod…
math.AT2014
A Serre-Swan theorem for gerbe modules on étale Lie groupoids
Christoph Schweigert, Christopher Tropp, Alessandro Valentino
Given a bundle gerbe on a compact smooth manifold or, more generally, on a compact étale Lie groupoid , we show that the corresponding category of gerbe modules, if it is non-tr…