27 citations · 74 across the 23 of their papers we have counts for
4 papers · 1 filter
Averaging Property of Wedge Product and Naturality in Discrete Exterior Calculus
Mark D. Schubel, Daniel Berwick-Evans, Anil N. Hirani
In exterior calculus on smooth manifolds, the exterior derivative and wedge product are natural with respect to smooth maps between manifolds, that is, these operations commute wit…
The families analytic index for -dimensional Euclidean field theories
Daniel Berwick-Evans
We construct a -valued families index for a class of -dimensional Euclidean field theories. This realizes a conjectured cocycle map in the Stolz--Teichner program. W…
How do field theories detect the torsion in topological modular forms?
Daniel Berwick-Evans
We construct deformation invariants of -dimensional Euclidean field theories valued in a cohomology theory approximating topological modular forms. This implies several result…
The families Clifford index and differential KO-theory
Daniel Berwick-Evans
Extending ideas of Atiyah--Bott--Shapiro and Quillen, we construct a model for differential -theory whose cocycles are families of Clifford modules with superconnection. Th…