Daniel Berwick-Evans

activity

20132025

most citedLie 2-algebras of vector fields

27 citations · 74 across the 23 of their papers we have counts for

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Showing 2023 · math.ATShow all

3 papers · 2 filters

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…

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