Saskia Roos

activity

20152019

most citedThe Chiral Anomaly of the Free Fermion in Functorial Field Theory

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

collaborators

7 papers

math.DG2019★ 2 cited

The Chiral Anomaly of the Free Fermion in Functorial Field Theory

Matthias Ludewig, Saskia Roos

When trying to cast the free fermion in the framework of functorial field theory, its chiral anomaly manifests in the fact that it assigns the determinant of the Dirac operator to…

math.DG2018

Scalar curvature and the multiconformal class of a direct product Riemannian manifold

Nobuhiko Otoba, Saskia Roos

For a closed, connected direct product Riemannian manifold $(M, g) = (M_{1} \times \dots \times M_{l}, g_{1} \oplus \dots \oplus g_{l})$ , we define its multiconformal class $[[g]]$ as the…

math.SP2018

The Dirac operator under collapse to a smooth limit space

Saskia Roos

Let $(M_{i}, g_{i})_{i \in N}$ be a sequence of spin manifolds with uniform bounded curvature and diameter that converges to a lower dimensional Riemannian manifold $(B, h)$ in…

math.SP2017

Dirac operators with $W^{1, \infty}$ -potential under codimension one collapse

Saskia Roos

We study the behavior of the spectrum of the Dirac operator together with a symmetric $W^{1, \infty}$ -potential on spin manifolds under a collapse of codimension one with bounded s…

math.DG2017★ 1 cited

A characterization of codimension one collapse under bounded curvature and diameter

Saskia Roos

Let $M (n, D)$ be the space of closed $n$ -dimensional Riemannian manifolds $(M, g)$ with $d iam (M) \leq D$ and $∣ sec^{M} ∣ \leq 1$ . In this paper we consider sequences $(M_i,…

math.SP2016

Eigenvalue pinching on $spin^{c}$ manifolds

Saskia Roos

We derive various pinching results for small Dirac eigenvalues using the classification of $spin^{c}$ and spin manifolds admitting nontrivial Killing spinors. For this, we int…

math.SP2015

Estimates for eigensections of Riemannian vector bundles

Saskia Roos

We derive a bound on the $L^{\infty}$ -norm of the covariant derivative of Laplace eigensections on general Riemannian vector bundles depending on the diameter, the dimension, the R…

The Chiral Anomaly of the Free Fermion in Functorial Field Theory

Scalar curvature and the multiconformal class of a direct product Riemannian manifold

The Dirac operator under collapse to a smooth limit space

Dirac operators with W1,∞-potential under codimension one collapse

A characterization of codimension one collapse under bounded curvature and diameter

Eigenvalue pinching on spinc manifolds

Estimates for eigensections of Riemannian vector bundles

Dirac operators with $W^{1, \infty}$ -potential under codimension one collapse

Eigenvalue pinching on $spin^{c}$ manifolds