82 citations · 526 across the 39 of their papers we have counts for
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math.OA2023★ 1 cited
A representation of the string 2-group
Peter Kristel, Matthias Ludewig, Konrad Waldorf
We construct a representation of the string 2-group on a 2-vector space, aiming to establish it as the categorification of the spinor representation. Our model for 2-vector spaces…
math.OA2020★ 1 cited
Connes fusion of spinors on loop space
Peter Kristel, Konrad Waldorf
The loop space of a string manifold supports an infinite-dimensional Fock space bundle, which is an analog of the spinor bundle on a spin manifold. This spinor bundle on loop space…
math.OA2019
Fusion of implementers for spinors on the circle
Peter Kristel, Konrad Waldorf
We consider the space of odd spinors on the circle, and a decomposition into spinors supported on either the top or on the bottom half of the circle. If an operator preserves this…