There is the general principle to consider a classical invariant of a closed Riemannian
manifold M and to define its analog for the universal covering M taking the action of the …

This paper, somewhat delayed in the series “Fundamental Directions,” is devoted to general
linear elliptic boundary problems on a smooth compact manifold with boundary. The paper …

A bstract In this work we propose a simple and systematic framework for including edge
modes in gauge theories on manifolds with boundaries. We argue that this is necessary in …

In 1987 Graeme Segal gave a functorial definition of Conformal Field Theory (CFT) that was
designed to capture the mathematical essence of the Conformal Bootstrap formalism …

Loewner's equation provides a way to encode a simply connected domain or equivalently its
uniformizing conformal map via a real-valued driving function of its boundary. The first main …

In this review we consider the Hamiltonian analysis of Yang-Mills theory and some variants
of it in three spacetime dimensions using the Schr\" odinger representation. This …

Nous obtenons un analogue de la formule de Weyl (ou plutôt sa version intégrée) pour les
domaines non-bornés d'une variété riemannienne complète. Cet asymptotique concerne la …

Gauge theories possess nonlocal features that, in the presence of boundaries, inevitably
lead to subtleties. We employ geometric methods rooted in the functional geometry of the …

For a closed Riemannian manifold (M, g) we extend the definition of analytic and
Reidemeister torsion associated to a unitary representation of π 1 (M) on a finite …

The entanglement entropy (EE) of gauge theories in three spacetime dimensions is
analyzed using manifestly gauge-invariant variables defined directly in the continuum …