Anosov and pseudo-Anosov flows are a type of hyperbolic flows that have been studied since the 1960s from a dynamical point of view, and at least the 80s from a topological point of view. They have ...

ABSTRACT: The Hodge conjecture states that the Hodge group of Hodge classes is equal to the algebraic group generated by algebraic subvarieties on a Hodge manifold. To prove the conjecture, we ...

Albert Manifold, former CRH head, is BP's new chairman, signaling a potential strategic shift. Appointment follows ex-CEO Looney's exit and BP's reduced renewables spending. Manifold's background ...

In this manuscript, we aim to classify and characterize the moduli space of homogeneous spin connections and homogeneous SU(2) connections on three-dimensional Riemannian homogeneous spaces. An ...

On the left, the schematic illustration depicts the gluing rules of the Brillouin manifold, with a half-twist operation connecting the opposing faces. On the right, the BZ is divided into 64 blocks by ...

1 Center for Vision Technologies, SRI International, Princeton, NJ, United States 2 Department of Computer Science, Stony Brook University, Stony Brook, NY, United States Manifold representation ...

We build a connection between topology of smooth 4-manifolds and the theory of topological modular forms by considering topologically twisted compactification of 6d (1, 0) theories on 4-manifolds with ...

Jeffrey Brock, an internationally recognized mathematician, was recently appointed the William S. Massey Professor of Mathematics and professor of statistics and data science, effective immediately.

MANTRA is a dataset consisting of combinatorial triangulations of manifolds. It can be used to create novel algorithms in topological deep learning or debug existing ones. See our ICLR 2025 paper for ...

Abstract: Virtual coupling is a promising innovation aimed at increasing railway capacity. Compared to current railway signaling systems, it allows two or more trains to run with reduced headway ...