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.
Researchers find multiple supporting minimal Lefschetz pencils for a complex fibration.
We find a new relation among right-handed Dehn twists in the mapping class group of a -holed torus for . This relation induces an elliptic Lefschetz pencil structure on the four-manifold \cp $#(9-k)$ \cpb with base points and twelve singular fibers. By blowing up the base points we get an el…
In this note we find new relations in the mapping class group of a genus two surface with n boundary components for n=1,..., 8 which induce a genus two Lefschetz fibration $CP^2#13CP^2bar \to S^2$ with n disjoint sections. As a consequence, we observe any holomorphic genus 2 Lefschetz fibration without separating singu…
We construct a relation among right-handed Dehn twists in the mapping class group of a compact oriented surface of genus g with 4g+4 boundary components. This relation gives an explicit topological description of 4g+4 disjoint (-1)-sections of a hyperelliptic Lefschetz fibration of genus g on the manifold {CP}^2#(4g+5)…
Study of CR twistor model and its sections.
An expansion is developed for the Weil-Petersson Riemann curvature tensor in the thin region of the Teichmüller and moduli spaces. The tensor is evaluated on the gradients of geodesic-lengths for disjoint geodesics. A precise lower bound for sectional curvature in terms of the surface systole is presented. The curvatur…
New results on geodesic flows using curve shortening flow.
Paper equates torsions on wedge singularities.
We implement a market microstructure model including informed, uninformed and heuristic-driven investors, which latter behave in line with loss-aversion and mental accounting. We show that the probability of informed trading (PIN) varies significantly during 2008. In contrast, the probability of heuristic-driven tradin…
The paper extends results on minimal hypersurfaces in Riemannian manifolds to higher dimensions.
A Heegaard splitting of a closed, orientable three-manifold satisfies the disjoint curve property if the splitting surface contains an essential simple closed curve and each handlebody contains an essential disk disjoint from this curve [Thompson, 1999]. A splitting is full if it does not have the disjoint curve proper…
In this paper, we provide new discrete uniformization theorems for bounded, -connected planar domains. To this end, we consider a planar, bounded, -connected domain and let $\bordΩ$ be its boundary. Let denote a triangulation of $Ω\cup\bordΩ$. We construct a \emph{new} decomposition of $Ω\cup\bo…
Approximates cycles in planar and bounded-genus graphs.
Paper constructs graphs with girth four and distinct properties.
We show that all finite-dimensional resolvable generalized manifolds with the piecewise disjoint arc-disk property are codimension one manifold factors. We then show how the piecewise disjoint arc-disk property and other general position properties that detect codimension one manifold factors are related. We also note …
The paper explores isotopic triples of triangles in 3D space.
We present a new property, the Disjoint Path Concordances Property, of an ENR homology manifold X which precisely characterizes when X times R has the Disjoint Disks Property. As a consequence, X times R is a manifold if and only if X is resolvable and it possesses this Disjoint Path Concordances Property.
Simple proof shows uncountable Möbius bands are impossible in space.
Let X_1, X_2 be symplectic 4-manifolds containing symplectic surfaces F_1,F_2 of identical positive genus and opposite squares. Let Z denote the symplectic sum of X_1 and X_2 along the F_k. Using relative Gromov--Witten theory, we determine precisely when the symplectic 4-manifold Z is minimal (i.e., cannot be blown do…
A new classification method using disjoint centroids and normalized distance.
New method shows disjoint set-theoretic subsolutions remain so for longer.
Uniform bounds found for Sierpinski carpet hyperbolic components.
We develop a holonomy reduction procedure for general Cartan geometries. We show that, given a reduction of holonomy, the underlying manifold naturally decomposes into a disjoint union of initial submanifolds. Each such submanifold corresponds to an orbit of the holonomy group on the modelling homogeneous space and car…
A natural generalization of interval exchange maps are linear involutions, first introduced by Danthony and Nogueira. Recurrent train tracks with a single switch which we call non-classical interval exchanges, form a subclass of linear involutions without flips. They are analogs of classical interval exchanges, and are…
We estimate from below the number of lines meeting each of given 4 disjoint smooth closed curves in a given cyclic order in the real projective 3-space and in a given linear order in the Euclidean 3-space. Similarly, we estimate the number of circles meeting in a given cyclic order given 6 disjoint smooth closed curves…
The paper introduces MU for NMF with -divergences and disjoint constraints.
We prove that the number s(n) of disjoint minimal graphs supported on domains in R^n is bounded by e(n+1)^2. In the two-dimensional case we show that s(2) is at most three (the conjectured number is two).
Survey of non-uniqueness in anisotropic Calderón problem with disjoint boundary data.
We show that many algebraic actions of higher-rank abelian groups on zero-dimensional groups are mutually disjoint. The proofs exploit differences in the entropy geometry arising from subdynamics and a form of Abramov--Rokhlin formula for half-space entropies.
New theorem on embedding Moebius bands in 3D space.
The study bounds the excess of disjoint nonorientable surfaces in a 4-manifold.
Crooked planes in 3D Minkowski space can be foliated.
New algorithm for learning causal structures with disjoint cycles in linear non-Gaussian models.
New embeddings show answer to Baker-Laidacker question can be yes or no.
Satellite knots can be trivialized by a single band move.
Embeddings of pairs of disjoint nonparallel primitive simple closed curves in the boundary of a genus two handlebody are classified. Briefly, two disjoint primitives either lie on opposite ends of a product , or they lie on opposite ends of a kind of "twisted" product $F \widetilde{\boldsymbol{…
The following problem was proposed in 2010 by S. Lando. Let and be two unions of the same number of disjoint circles in a sphere. Do there always exist two spheres in 3-space such that their intersection is transversal and is a union of disjoint circles that is situated as in one sphere and as in the ot…
Simple curves enclose two small disks if they're wide and bend moderately.
MTL method uses unlabeled data with pseudo labels to improve classification with disjoint datasets.
Neural Bayes simplifies computing complex stats for unsupervised learning.
Curved metrics on Wallach spaces bounded by curves under flow.
A biclustering algorithm finds dense disjoint subgraphs in weighted bipartite graphs.
We study the structure of finite quandles in terms of subquandles. Every finite quandle decomposes in a natural way as a union of disjoint -complemented subquandles; this decomposition coincides with the usual orbit decomposition of . Conversely, the structure of a finite quandle with a given orbit decomposit…
Paper proposes a clustering algorithm for nonnegative data.
Let Y be a compact, oriented 3-manifold with a contact form a. For any Dirac operator D, we study the asymptotic behavior of the spectral flow between D and D+cl(-ira) as r very large. If a is the Thurston-Winkelnkemper contact form whose monodromy is the product of Dehn twists along disjoint circles, we prove that the…
Sharp inequality for Neumann eigenvalues on space forms.
Improved defense against data poisoning attacks by aggregating smaller subsets.
Classifies pairs of hyperplanes in Einstein universe, contributing to crooked surfaces classification.