4 papers
Discrete Vector Bundles with Connection
Daniel Berwick-Evans, Anil N. Hirani, Mark D. Schubel
We develop a combinatorial theory of vector bundles with connection on locally ordered simplicial complexes. This is a first step towards a discrete exterior calculus for bundle-va…
Flat principal 2-group bundles and flat string structures
Daniel Berwick-Evans, Emily Cliff, Laura Murray +2
For a weak 2-group, we construct a bicategory of flat 2-group bundles over differentiable stacks as a localization of a functor bicategory. This description is amenable to explicit…
The Freed--Quinn line bundle from higher geometry
Daniel Berwick-Evans, Emily Cliff, Laura Murray
For a finite group , and level , Freed and Quinn construct a line bundle over the moduli space of -bundles on surfaces. Global sections determine th…
Classifying spaces of infinity-sheaves
Daniel Berwick-Evans, Pedro Boavida de Brito, Dmitri Pavlov
We prove that the set of concordance classes of sections of an infinity-sheaf on a manifold is representable, extending a theorem of Madsen and Weiss. This is reminiscent of an h-p…