27 citations · 74 across the 23 of their papers we have counts for
4 papers · 1 filter
Twisted equivariant differential K-theory from gauged supersymmetric mechanics
Daniel Berwick-Evans
We use the geometry of the space of fields for gauged supersymmetric mechanics to construct the twisted differential equivariant K-theory of a manifold with an action by a finite g…
Topological -expansion and the supersymmetric sigma model
Daniel Berwick-Evans
The Hamiltonian and Lagrangian formalisms offer two perspectives on quantum field theory. This paper sets up a framework to compare these approaches for the supersymmetric sigma mo…
Perturbative N=2 supersymmetric quantum mechanics and L-theory with complex coefficients
Daniel Berwick-Evans
We construct L-theory with complex coefficients from the geometry of 1|2-dimensional perturbative mechanics. Methods of perturbative quantization lead to wrong-way maps that we ide…
Smooth one-dimensional topological field theories are vector bundles with connection
Daniel Berwick-Evans, Dmitri Pavlov
We prove that smooth 1-dimensional topological field theories over a manifold are equivalent to vector bundles with connection. The main novelty is our definition of the smooth 1-d…