Batu Guneysu

activity

20112020

most citedThe BMS conjecture

1 citations · 1 across the 2 of their papers we have counts for

collaborators

11 papers

math.DG2020

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

Sebastian Boldt, Batu Güneysu

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

math-ph2019

Hölder estimates for magnetic Schrödinger semigroups in $R^{d}$ from mirror coupling

Oliver Fürst, Batu Güneysu

We use the mirror coupling of Brownian motion to show that under a $β \in (0, 1)$ -dependent Kato type assumption (which is satisfied under a suitable $L^{q}$ -assumption on the electro-…

math-ph2019

$RCD^{*} (K, N)$ spaces and the geometry of multi-particle Schrödinger semigroups

Batu Güneysu

With $(X, d, m)$ an $RCD^{*} (K, N)$ space for some $K \in R$ , $N \in [1, \infty)$ , let $H$ be the self-adjoint Laplacian induced by the underlying Ch…

math.MG2019

Molecules as metric measure spaces with Kato-bounded Ricci curvature

Batu Güneysu, Max von Renesse

Set $Ψ := - lo g (Ψ ~)$ , with $Ψ ~ > 0$ the ground state of an arbitrary molecule with $n$ electrons in the infinite mass limit (neglecting spin/statistics). Let $Σ\subset \IR^{3…

math.KT2019

The Chern Character of θ-summable Fredholm Modules over dg Algebras and Localization on Loop Space

Batu Güneysu, Matthias Ludewig

We introduce the notion of a {\vartheta}-summable Fredholm module over a locally convex dg algebra Ω and construct its Chern character as a cocycle on the entire cyclic complex of…

math.KT2018

Odd characteristic classes in entire cyclic homology and equivariant loop space homology

Sergio Cacciatori, Batu Güneysu

Given a compact manifold $M$ and $g \in C^{\infty} (M, U (l; C))$ we construct a Chern character $Ch^{-} (g)$ which lives in the odd part of the equivariant (entire) cycl…