Browsing 1  Oberwolfach Preprints (OWP) by Title
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KTriviality, Oberwolfach randomness, and differentiability
[OWP201217] (Mathematisches Forschungsinstitut Oberwolfach, 20121221)We show that a MartinLof random set for which the effective version of the Lebesgue density theorem fails computes every $K$trivial set. Combined with a recent result by Day and Miller, this gives a positive solution to ... 
Killing Tensors on Tori
[OWP201620] (Mathematisches Forschungsinstitut Oberwolfach, 20161110)We show that Killing tensors on conformally at ndimensional tori whose conformal factor only depends on one variable, are polynomials in the metric and in the Killing vector fields. In other words, every first integral ... 
Ky Fan Theorem for Sphere Bundles
[OWP202403] (Mathematisches Forschungsinstitut Oberwolfach, 20240405)The classic Ky Fan theorem is a combinatorial equivalent of BorsukUlam theorem. It is a generalization and extension of Tucker’s lemma and, just like its predecessor, it pinpoints important properties of antipodal colorings ... 
lTorsion Bounds for the Class Group of Number Fields with an l Group as Galois Group
[OWP202011] (Mathematisches Forschungsinstitut Oberwolfach, 20200504)We describe the relations among the $\ell$torsion conjecture for $\ell$extensions, the discriminant multiplicity conjecture for nilpotent extensions and a conjecture of Malle giving an upper bound for the number of ... 
LateTime Behaviour of Israel Particles in a FLRW Spacetime with Λ>0
[OWP201619] (Mathematisches Forschungsinstitut Oberwolfach, 201610)In this paper we study the relativistic Boltzmann equation in a spatially flat FLRW spacetime. We consider Israel particles, which are the relativistic counterpart of the Maxwellian particles, and obtain globalintime ... 
Lax Comma Categories of Ordered Sets
[OWP202308] (Mathematisches Forschungsinstitut Oberwolfach, 20230619)Let $\mathsf{Ord} $ be the category of (pre)ordered sets. Unlike $\mathsf{Ord}/X$, whose behaviour is wellknown, not much can be found in the literature about the lax comma 2category $\mathsf{Ord} //X$. In this paper ... 
Legendrian Knots in Lens Spaces
[OWP201101] (Mathematisches Forschungsinstitut Oberwolfach, 2011)In this note, we first classify all topological torus knots lying on the Heegaard torus in Lens spaces, and then we classify Legendrian representatives of torus knots. We show that all Legendrian torus knots in universally ... 
Legendrian Lens Space Surgeries
[OWP201610] (Mathematisches Forschungsinstitut Oberwolfach, 20160617)We show that every tight contact structure on any of the lens spaces $L(ns^2  s + 1,s^2)$ with $n\geq 2, s \geq 1$, can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative ... 
Legendrian rational unknots in lens spaces
[OWP201306] (Mathematisches Forschungsinstitut Oberwolfach, 20130314)We classify Legendrian rational unknots with tight complements in the lens spaces $L(p,1)$ up to coarse equivalence. As an example of the general case, this classification is also worked out for $L(5, 2)$. The knots are ... 
Lifting Spectral Triples to Noncommutative Principal Bundles
[OWP202102] (Mathematisches Forschungsinstitut Oberwolfach, 20210111)Given a free action of a compact Lie group $G$ on a unital C*algebra $\mathcal{A}$ and a spectral triple on the corresponding fixed point algebra $\mathcal{A}^G$, we present a systematic and indepth construction of ... 
Linear Syzygies, Hyperbolic Coxeter Groups and Regularity
[OWP201715] (Mathematisches Forschungsinstitut Oberwolfach, 20170524)We build a new bridge between geometric group theory and commutative algebra by showing that the virtual cohomological dimension of a Coxeter group is essentially the regularity of the Stanley–Reisner ring of its nerve. ... 
Linking and Closed Orbits
[OWP201315] (Mathematisches Forschungsinstitut Oberwolfach, 20130610)We show that the Lagrangian of classical mechanics on a Riemannian manifold of bounded geometry carries a periodic solution of motion with prescribed energy, provided the potential satis es an asymptotic growth ... 
Local and Global Canonical Forms for DifferentialAlgebraic Equations with Symmetries
[OWP202205] (Mathematisches Forschungsinstitut Oberwolfach, 20220221)Linear timevarying differentialalgebraic equations with symmetries are studied. The structures that we address are selfadjoint and skewadjoint systems. Local and global canonical forms under congruence are presented ... 
Local asymptotics for the area of random walk excursions
[OWP201319] (Mathematisches Forschungsinstitut Oberwolfach, 20130905)We prove a local limit theorem for the area of the positive exursion of random walks with zero mean and finite variance. Our main result complements previous work of Caravenna and Chaumont, Sohier, as well as ... 
Localized Endomorphisms of Graph Algebras
[OWP201104] (Mathematisches Forschungsinstitut Oberwolfach, 2011057)Endomorphisms of graph $C^*$algebras are investigated. A combinatorial approach to analysis of permutative endomorphisms is developed. Then invertibility criteria for localized endomorphisms are given. Furthermore, ... 
Locally Compact Abelian pGroups Revisited
[OWP201706] (Mathematisches Forschungsinstitut Oberwolfach, 20170303)Even though the structure of locally compact abelian groups is generally considered to be rather thoroughly known through a wealth of publications, one keeps encountering corners that are not elucidated in uptodate ... 
Locally conformally Kähler manifolds admitting a holomorphic conformal flow
[OWP201013] (Mathematisches Forschungsinstitut Oberwolfach, 20100315)A manifold $M$ is locally conformally Kähler (LCK) if it admits a Kähler covering $\tilde{M}$ with monodromy acting by holomorphic homotheties. Let $M$ be an LCK manifold admitting a holomorphic conformal flow of ... 
Logical Relations for Partial Features and Automatic Differentiation Correctness
[OWP202309] (Mathematisches Forschungsinstitut Oberwolfach, 20230619)We present a simple technique for semantic, open logical relations arguments about languages with recursive types, which, as we show, follows from a principled foundation in categorical semantics. We demonstrate how it can ... 
Looking Back on Inverse Scattering Theory
[OWP201724] (Mathematisches Forschungsinstitut Oberwolfach, 20171005)We present an essay on the mathematical development of inverse scattering theory for timeharmonic waves during the past fifty years together with some personal memories of our participation in these events. 
Low rank differential equations for hamiltonian matrix nearness problems
[OWP201301] (Mathematisches Forschungsinstitut Oberwolfach, 20130208)For a Hamiltonian matrix with purely imaginary eigenvalues, we aim to determine the nearest Hamiltonian matrix such that so me or all eigenvalues leave the imaginary axis. Conversely, for a Hamiltonian matrix with all ...