14 citations · 22 across the 13 of their papers we have counts for
13 papers
The Stacey-Roberts Lemma for Banach Manifolds
Peter Kristel, Alexander Schmeding
The Stacey-Roberts lemma states that a surjective submersion between finite-dimensional manifolds gives rise to a submersion on infinite-dimensional manifolds of smooth mappings by…
A Topologically Enriched Probability Monad on the Cartesian Closed Category of CGWH Spaces
Peter Kristel, Benedikt Peterseim
Probability monads on categories of topological spaces are classical objects of study in the categorical approach to probability theory, with important applications in the semantic…
How an action that stabilizes a bundle gerbe gives rise to a Lie group extension
Bas Janssens, Peter Kristel
Let be a bundle gerbe with connection on a smooth manifold , and let be a smooth action of a Fréchet--Lie group on $M…
A Fermionic Grunsky operator
Peter Kristel, Eric Schippers, Wolfgang Staubach
To a conformal map from the disk into the complex plane onto a domain with rectifiable Ahlfors-regular boundary, we associate a new kind of Grunsky operator on the…
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…
Grassmannians of Lagrangian Polarizations
Peter Kristel, Eric Schippers
This paper is an introduction to polarizations in the symplectic and orthogonal settings. They arise in association to a triple of compatible structures on a real vector space, con…
The stringor bundle
Peter Kristel, Matthias Ludewig, Konrad Waldorf
We set up a framework of 2-Hilbert bundles, which allows to rigorously define the "stringor bundle", a higher differential geometric object anticipated by Stolz and Teichner in an…
The insidious bicategory of algebra bundles
Peter Kristel, Matthias Ludewig, Konrad Waldorf
In this paper we construct a bicategory of (super) algebra bundles over a smooth manifold, where the 1-morphisms are bundles of bimodules. The main point is that naive definitions…
2-vector bundles
Peter Kristel, Matthias Ludewig, Konrad Waldorf
We develop a ready-to-use comprehensive theory for (super) 2-vector bundles over smooth manifolds. It is based on the bicategory of (super) algebras, bimodules, and intertwiners as…
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…
Smooth Fock bundles, and spinor bundles on loop space
Peter Kristel, Konrad Waldorf
We address the construction of smooth bundles of fermionic Fock spaces, a problem that appears frequently in fermionic gauge theories. Our main motivation is the spinor bundle on t…
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…
Quantum Brownian motion in a Landau level
Emilio Cobanera, Peter Kristel, Cristiane Morais Smith
Motivated by questions about the open-system dynamics of topological quantum matter, we investigated the quantum Brownian motion of an electron in a homogeneous magnetic field. Whe…