A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Paper extends tree bijection for hyperbolic surfaces without requiring cusps.
Let G be a finitely presented group. Scott and Swarup have constructed a canonical splitting of G which encloses all almost invariant sets over virtually polycyclic subgroups of a given length. We give an alternative construction of this regular neighbourhood, by showing that it is the tree of cylinders of a JSJ splitt…
Let T be a tree with an action of a finitely generated group G. Given a suitable equivalence relation on the set of edge stabilizers of T (such as commensurability, co-elementarity in a relatively hyperbolic group, or commutation in a commutative transitive group), we define a tree of cylinders T_c. This tree only depe…
Machine learning predicts wind pressures around circular cylinders efficiently.
Study of -cylinder surfaces to calculate Masur-Veech volumes.
In his study of the group of homology cylinders, J. Levine made the conjecture that a certain homomorphism eta': T -> D' is an isomorphism. Here T is an abelian group on labeled oriented trees, and D' is the kernel of a bracketing map on a quasi-Lie algebra. Both T and D' have strong connections to a variety of topolog…
Theory of JSJ decompositions for groups, developed over 20 years.
Two references added and the introduction slightly expanded. We show that the tree-level part of a recent theory of invariants of 3-manifolds (due, independently, to Goussarov and Habiro) is essentially given by classical algebraic topology in terms of the Johnson homomorphism and Massey products, for arbitrary 3-manif…
We define cylinder knots as billiard knots in a cylinder. We present a necessary condition for cylinder knots: after dividing cylinder knots by possible rotational symmetries we obtain ribbon knots. We obtain an upper bound for the number of cylinder knots with two fixed parameters (out of three). In addition we prove …
New cohomology vanishing result for twisted cylinders.
Minimal cylinders in Heisenberg group characterized using loop group method.
The paper proves cylinders in hyperbolic 3-space have zero curvature.
Holomorphic cylinders converge to disks joined by flow lines.
Two ancient solutions to Gauss curvature flow are identified for cylinders.
The paper develops a method to map knots in a cylinder to virtual-flat knots.
In this paper we show how the existence of a certain stable cylinder determines (locally) the ambient manifold where it is immersed. This cylinder has to verify a {\it bifurcation phenomena}, we make this explicit in the introduction. In particular, the existence of such a stable cylinder implies that the ambient manif…
Cylinders in warped product spaces have zero curvature.
The paper studies cylinder curves in flat metrics with q > 2.
The paper examines the stability of Killing cylinders in hyperbolic space.
Knots parametrized in cylinder coordinates by t -> (st, 3 + cos(nt), cos(mt + φ)) share properties of Lissajous and billiard knots in a cylinder. We use these 'billiard knots in a flat solid torus' to study two topics: when is Z(s,n,m) equal to Z(s,m,n)? And: why are the determinants of certain Lissajous and billiard k…
This paper explores how pairs of multicurves can be realized as cylinders on translation surfaces.
New findings on -solutions with round cylinder as asymptotic shrinker.
Study decomposes geometric surfaces, finding special curves.
Study asymptotics of special curves on shrinking cylinders.
Round cylinders are rigid in Ricci shrinkers close to the standard product.
Stable cylinders found in hyperbolic groups and curve graphs.
Study on quantum particle evolution on Grushin cylinder, embedding in R^3.
Study higher order fermionic and bosonic operators on cylinders and Hopf manifolds.
In 1991, Dajczer and Rodriguez proved in [10] that a complete minimal real Kahler submanifold of codimension 2, if with complex dimension > 2, would be either holomorphic, or a cylinder, or complex ruled. In this article, we generalize their result to real analytic complete real Kahler submanifolds of codimension 4. Th…
Study proves uniqueness and rigidity of cylindrical self-shrinkers using Łojasiewicz inequalities.
Study constructs closed curves with constant curvature on cylinders and tori.
Proves a Minkowski inequality for star-shaped hypersurfaces in warped cylinders.
In this article we prove that a connected and properly embedded translating soliton in with uniformly bounded genus on compact sets which is -asymptotic to two planes outside a cylinder, either is flat or coincides with the grim reaper cylinder.
Paper proves uniqueness of catenary cylinders based on their asymptotic shape.
Study of Ricci flow on cylinders, proving longtime existence and asymptotic behavior.
We cut a hyperbolic surface of finite area along some analytic simple closed curves, and glue in cylinders of varying moduli. We prove that as the moduli of the glued cylinders go to infinity, the Fenchel-Nielsen twist coordinates for the resulting surface around those cylinders converge.
Let S be a compact connected oriented surface with one boundary component, and let P be the fundamental group of S. The Johnson filtration is a decreasing sequence of subgroups of the Torelli group of S, whose k-th term consists of the self-homeomorphisms of S that act trivially at the level of the k-th nilpotent quoti…
We give a Dehn-Nielsen type theorem for the homology cobordism group of homology cylinders by considering its action on the acyclic closure, which was defined by Levine, of a free group. Then we construct an additive invariant of those homology cylinders which act on the acyclic closure trivially. We also describe some…
New method proves inequalities for self-shrinkers using perturbation.
A homology cylinder over a surface consists of a homology cobordism between two copies of the surface and markings of its boundary. The set of isomorphism classes of homology cylinders over a fixed surface has a natural monoid structure and it is known that this monoid can be seen as an enlargement of the mapping class…
We derive all possible causality conditions for conformally flat Lorentzian metrics on the two-dimensional cylinder.
Research shows curves in Walker 3-manifolds can lie in flat cylinders.
In the previous paper, the structure of the cut locus was determined for a class of surfaces of revolution homeomorphic to a cylinder. In this paper, we prove the structure theorem of the cut locus for a wider class of surfaces of revolution homeomorphic to a cylinder.
Smooth convergence to an enveloping cylinder proved for mean curvature flow of complete graphical hypersurfaces.
The homology cobordism group of homology cylinders is a generalization of the mapping class group and the string link concordance group. We study this group and its filtrations by subgroups by developing new homomorphisms. First, we define extended Milnor invariants by combining the ideas of Milnor's link invariants an…
Rotational symmetry proven for special self-expanders near cylinders.
We show that some pieces of cylinders bounded by two parallel straight-lines bifurcate in a family of periodic non-rotational surfaces with constant mean curvature and with the same boundary conditions. These cylinders are initial interfaces in a problem of microscale range modeling the morphologies that adopt a liquid…
Let S be a compact connected oriented surface, whose boundary is connected or empty. A homology cylinder over the surface S is a cobordism between S and itself, homologically equivalent to the cylinder over S. The Y-filtration on the monoid of homology cylinders over S is defined by clasper surgery. Using a functorial …