Daniel Berwick-Evans

most citedThe equivariant Chern character as super holonomy on loop stacks

4 citations · 4 across the 5 of their papers we have counts for

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math.AT2023

The families analytic index for $1∣1$ -dimensional Euclidean field theories

Daniel Berwick-Evans

We construct a $KO$ -valued families index for a class of $1∣1$ -dimensional Euclidean field theories. This realizes a conjectured cocycle map in the Stolz--Teichner program. W…

math.AT2023

How do field theories detect the torsion in topological modular forms?

Daniel Berwick-Evans

We construct deformation invariants of $2∣1$ -dimensional Euclidean field theories valued in a cohomology theory approximating topological modular forms. This implies several result…

math.AT2023

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 $KO$ -theory whose cocycles are families of Clifford modules with superconnection. Th…

math.AT2016★ 4 cited

The equivariant Chern character as super holonomy on loop stacks

Daniel Berwick-Evans, Fei Han

We study super parallel transport around super loops in a quotient stack, and show that this geometry constructs a global version of the equivariant Chern character.

The families analytic index for 1∣1-dimensional Euclidean field theories

How do field theories detect the torsion in topological modular forms?

The families Clifford index and differential KO-theory

The equivariant Chern character as super holonomy on loop stacks

The families analytic index for $1∣1$ -dimensional Euclidean field theories