activity
20092020
most citedSupergeometry in locally covariant quantum field theory

7 citations · 17 across the 5 of their papers we have counts for

collaborators

7 papers

math.SP2020

A relative trace formula for obstacle scattering

Florian Hanisch, Alexander Strohmaier, Alden Waters

We consider the case of scattering of several obstacles in for . In this setting the absolutely continuous part of the Laplace operator with Dirichlet…

math.DG2017★ 4 cited

The Fermionic integral on loop space and the Pfaffian line bundle

Florian Hanisch, Matthias Ludewig

As the loop space of a Riemannian manifold is infinite-dimensional, it is a non-trivial problem to make sense of the "top degree component" of a differential form on it. In this pa…

math.DG2017★ 2 cited

A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold

Florian Hanisch, Matthias Ludewig

We give a rigorous construction of the path integral in N=1/2 supersymmetry as an integral map for differential forms on the loop space of a compact spin manifold. It is defined on…

math-ph2015★ 7 cited

Supergeometry in locally covariant quantum field theory

Thomas-Paul Hack, Florian Hanisch, Alexander Schenkel

In this paper we analyze supergeometric locally covariant quantum field theories. We develop suitable categories SLoc of super-Cartan supermanifolds, which generalize Lorentz manif…

math.DG2014

Magnetic Geodesics via the Heat Flow

Volker Branding, Florian Hanisch

Magnetic geodesics describe the trajectory of a particle in a Riemannian manifold under the influence of an external magnetic field. In this article, we use the heat flow method to…

math.DG2014★ 4 cited

A Supermanifold structure on Spaces of Morphisms between Supermanifolds

Florian Hanisch

The aim of this work is the construction of a "supermanifold of morphisms ", given two finite-dimensional supermanifolds and . More precisely, we will defin…