activity
20142021
most citedScattering Theory and Spectral Stability under a Ricci Flow for Dirac Operators

3 citations · 6 across the 5 of their papers we have counts for

collaborators

6 papers

math.DG2021

A Chern-Simons transgression formula for supersymmetric path integrals on spin manifolds

Sebastian Boldt, Sergio Luigi Cacciatori, Batu Güneysu

Earlier results show that the N = 1/2 supersymmetric path integral on a closed even dimensional Riemannian spin manifold (X,g) can be constructed in a mathematically rigorous way v…

math-ph2020★ 1 cited

Feynman-Kac formula for perturbations of order and noncommutative geometry

Sebastian Boldt, Batu Güneysu

Let be a differential operator of order on a complex metric vector bundle with metric connection over a possibly noncompact Riema…

math.DG2020★ 1 cited

Relatively Compact Sets of Heisenberg Manifolds

Sebastian Boldt

We give a necessary and sufficient condition for a set of left invariant metrics on a compact Heisenberg manifold to be relatively compact in the corresponding moduli space.

math.DG2020★ 3 cited

Scattering Theory and Spectral Stability under a Ricci Flow for Dirac Operators

Sebastian Boldt, Batu Güneysu

Given a noncompact spin manifold with a fixed topological spin structure and two complete Riemannian metrics and on with bounded sectional curvatures, we prove a cr…

math.DG2015★ 1 cited

Properties of the Dirac spectrum on three dimensional lens spaces

Sebastian Boldt

We present a spectral rigidity result for the Dirac operator on lens spaces. More specifically, we show that each homogeneous lens space and each three dimensional lens space $L(q;…

math.DG2014

An explicit formula for the Dirac multiplicities on lens spaces

Sebastian Boldt, Emilio A. Lauret

We present a new description of the spectrum of the (spin-) Dirac operator on lens spaces. Viewing a spin lens space as a locally symmetric space $Γ\backslash \operatorname…