arXiv research

In this paper, we reconstruct Kuperberg's $G_2$ web space. We introduce a new web (a trivalent diagram) and new relations between Kuperberg's web diagrams and the new diagram. Using the $G_2$ webs, we define crossing formulas corresponding to R-matrices associated to some $G_2$ irreducible representations and calculate…

New hexagonal circular 3-webs with reducible curves classified.

We give various results and applications using the connection $(E,\nabla)$ associated with a $d$-web. Precisely, we exhibit fundamental invariants of the web related to the differential equation of first order which presents the web. They cast some new lights on the connection and its construction, both conceptually an…

New instanton homology for webs counts Tait colorings.

Much information available on the web is copied, reused or rephrased. The phenomenon that multiple web sources pick up certain information is often called trend. A central problem in the context of web data mining is to detect those web sources that are first to publish information which will give rise to a trend. We p…

Paper introduces a new web robot traffic generator.

Extracts main content from web pages using neural sequence labeling.

We investigate the space of abelian relations of planar webs admitting infinitesimal automorphisms. As an application, we construct 4k-14 new algebraic families of global exceptionnal k-webs on the projective plane, for each k >4.

Transfer learning improves understanding of users on new Web platforms.

Web browser autofill predicts form field labels for convenience.

Interprets SL3-web intersections on surfaces.

New method infers missing categorical data from Web markup.

Study of webs in quantum type C, proving equivalence to quantum representations.

A new algorithm selects web links to maximize revenue while ensuring user attractiveness.

Defines a new link invariant for type D webs.

New representations of pure braid groups defined from $A_2$ web spaces.

New invariants detect a specific graph in spatial webs.

A new bandit algorithm for web page item display.

Geodesic 3-webs on surfaces are characterized by integrable flow equations.

Scalable web crawling using noisy change-indicating signals.

Computer program constrains foam evaluation dimensions.

CCAligned creates a massive web document dataset for cross-lingual research.

Formula calculates MOY webs and link polynomials.

New structure for quantum algebra representations.

We find an invariant characterization of planar webs of maximum rank. For 4-webs, we prove that a planar 4-web is of maximum rank three if and only if it is linearizable and its curvature vanishes. This result leads to the direct web-theoretical proof of the Poincaré's theorem: a planar 4-web of maximum rank is lineari…

We use SO(3) gauge theory to define a functor from a category of unoriented webs and foams to the category of finite-dimensional vector spaces over the field of two elements. We prove a non-vanishing theorem for this SO(3) instanton homology of webs, using Gabai's sutured manifold theory. It is hoped that the non-vanis…

HTMLPhish detects phishing web pages using deep learning on HTML content.

Perceptual ad-blocking is vulnerable to attacks, creating new security risks.

Classifies hexagonal circular 3-webs with cubic polar curves.

We construct flat 3-webs via semi-simple geometric Frobenius manifolds of dimension three and give geometric interpretation of the Chern connection of the web. These webs turned out to be biholomorphic to the characteristic webs on the solutions of the corresponding associativity equation. We show that such webs are he…

We investigate the linearizability problem for different classes of 4-webs in the plane. In particular, we apply a recently found in [AGL] the linearizability conditions for 4-webs in the plane to confirm that a 4-web MW (Mayrhofer's web) with equal curvature forms of its 3-subwebs and a nonconstant basic invariant is …

In the present paper we study geometric structures associated with webs of hypersurfaces. We prove that with any geodesic (n+2)-web on an n-dimensional manifold there is naturally associated a unique projective structure and, provided that one of web foliations is pointed, there is also associated a unique affine struc…

Projective invariants described for 3-web geometry, resolving Gronwall's conjecture.

Automates organizing diverse web data into a hierarchical topic model.

Study local invariants of divergence-free webs in geometry.

This paper has been withdrawn by the authors due to the fact that the webs considered in the paper are ``Veronese-like webs'' which are different from Veronese webs.

Investigates webs related to cluster algebras and polylogarithms.

For a four-dimensional (nonisoclinicly geodesic) three-web W (3, 2, 2), a transversal distribution $Δ$ is defined by the torsion tensor of the web. In general, this distribution is not integrable. The authors find necessary and sufficient conditions of its integrability and prove the existence theorem for webs W (3, 2,…

In this paper we study the linearizability problem for 3-webs on a 2-dimensional manifold. With an explicit computation based on the theory developed in the paper "On the linearizability of 3-webs" (Nonlinear analysis 47, (2001) pp. 2643-2654), we examine a 3-web whose linearizability was claimed in the same paper. We …

Veronese webs appear as the natural way of passing to the quotient of curves in the projective space. In thi paper, we give the link between classical multidimensionnal webs and veronse webs by mean of interpolation.

A 3-web is linearizable, resolving a controversy.

GANs generate realistic cosmic web models in seconds, overcoming computational limits.

Gronwall conjecture states that a planar 3-web which admits more than one distinct linearization is locally equivalent to an algebraic web. We give a partial answer to the conjecture in the affirmative for the class of planar 3-webs with the web curvature that vanishes to order three at a point. The differential relati…

We find relative differential invariants of orders eight and nine for a planar nonparallelizable 3-web such that their vanishing is necessary and sufficient for a 3-web to be linearizable. This solves the Blaschke conjecture for 3-webs. As a side result, we show that the number of linearizations in the Gronwall conject…

Generative model improves web table titles.

Geodesic flows with specific integrals are linked to special 4-webs.

Geometrically interprets integrability of geodesic flow using web theory.

The Gronwall conjecture states that a planar 3-web of foliations which admits more than one distinct linearizations is locally equivalent to an algebraic web. We propose an analogue of the Gronwall conjecture for the 3-web of foliations by Legendrian curves in a contact three manifold. The Legendrian Gronwall conjectur…