Results 11 to 20 of about 167 (88)

Scalable Computation of Topological Abstractions for Scalar Data

Computer Graphics Forum, EarlyView.
Abstract Topological data analysis has become an important tool for large scale scalar data analysis and visualization, efficiently extracting the inherent structure and features of interest of the data. However, with growing dataset sizes and complexity, it is increasingly becoming infeasible to compute topological abstractions of interest in serial ...
M. Will, J. Lukasczyk, J. Tierny, A. Gyulassy, G. H. Weber, H. Carr, C. Garth   +6 more
wiley   +1 more source

On the additive image of zeroth persistent homology

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann, Johan Steen   +3 more
wiley   +1 more source

A relative Poincaré–Birkhoff theorem

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract A. Moreno and Otto van Koert proved a generalised version of the classical Poincaré–Birkhoff theorem, for Liouville domains of any dimension. In this article, we prove a relative version for Lagrangians with Legendrian boundary. This gives interior chords of arbitrary large length, provided that the twist condition introduced by Moreno and van
Agustin Moreno, Arthur Limoge
wiley   +1 more source

String topology via the coHochschild complex and local intersections

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We construct an algebraic model for the Chas–Sullivan product and the Goresky–Hingston coproduct in string topology. The construction takes as its initial input a simplicial complex equipped with a local pairing on its simplicial chains, for instance, a homology manifold with its local intersection pairing.
Manuel Rivera, Alex Takeda
wiley   +1 more source

Topological Graph Neural Networks: A Novel Approach for Geometric Deep Learning

Applied AI Letters, Volume 7, Issue 2, June 2026.
This graphical abstract illustrates the Topological Graph Neural Network (TopGNN) architecture. It demonstrates a parallel processing approach where an input graph is simultaneously analyzed by a standard GNN Encoder to capture local node features and by Persistent Homology to extract global topological features (like cycles and voids), visualized as a
Amarjeet, Anurag Sinha, Khalid Hussain, Wasim Ahmad Bhat, Sudhanshu Maurya, Mohammad Nadeem Ahmed, Mohammad Rashid Hussain, S. Khalid   +7 more
wiley   +1 more source

The Evolution of Hutchinsonian Climatic Niche Hypervolumes in Gymnosperms

Global Ecology and Biogeography, Volume 35, Issue 6, June 2026.
ABSTRACT Aim The niche is a fundamental concept in theoretical and experimental ecology and is used to describe a wide range of ecological processes from species' interactions with the environment to community assemblies. A common way to represent the niche is through a multidimensional geometry known as the Hutchinsonian niche hypervolume.
Fernanda S. Caron, Jānis Lazovskis, David F. R. P. Burslem, Juliano Morimoto   +3 more
wiley   +1 more source

Legume genome structures and histories inferred from Cercis canadensis and Chamaecrista fasciculata genomes

The Plant Journal, Volume 126, Issue 5, June 2026.
SUMMARY The legume family originated ca. 60–65 million years ago and soon diversified into at least six lineages (now extant subfamilies). The signal of whole genome duplications (WGD) is apparent in species sampled from all six subfamilies. The early diversification has posed difficulties for resolving the legume backbone structure and the timing of ...
Hyun‐oh Lee, Jacob S. Stai, Qiaoji Xu, Thulani Hewavithana, Pratheesh Soman, Rabnoor Batra, Alex Liu, Brandon D. Jordan, Rachel Walstead, Jerry Jenkins, Melissa Williams, Jenell Webber, Jane Grimwood, John T. Lovell, Tomáš Brůna, Shengqiang Shu, Keykhosrow Keymanesh, Joanne Eichenberger, Jeremy Schmutz, David M. Goodstein, Kerrie Barry, David Sankoff, Lingling Jin, James H. Leebens‐Mack, Steven B. Cannon   +24 more
wiley   +1 more source

Isotopy and equivalence of knots in 3‐manifolds

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto, Corey Bregman, Christopher W. Davis, JungHwan Park, Arunima Ray   +4 more
wiley   +1 more source

Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source