Results 11 to 20 of about 148 (89)

Tangent Blow‐Ups for Processing Non‐Manifold Geometry

Computer Graphics Forum, EarlyView.
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov, Mohammad Sina Nabizadeh, Ana Dodik, Justin Solomon   +3 more
wiley   +1 more source

On computing local monodromy and the numerical local irreducible decomposition

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards, Jonathan D. Hauenstein   +1 more
wiley   +1 more source

Local multiplicativity of perverse filtrations

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley   +1 more source

Quantum‐Like Dynamics in Whole‐Brain Models of the Human Connectome

Advanced Science, Volume 13, Issue 51, 14 September 2026.
Quantum‐like dynamics in the human brain. The level of quantum‐like behavior in a non‐quantum system of coupled oscillators is regulated by the spectral gap of the coupling graph. Whole‐brain modelling using QL fits the empirical data significantly better and has a lower model‐derived energy cost than the non‐QL model.
Gustavo Deco, Yonatan Sanz Perl, Natasha Greenstein, Shamil Chandaria, Gregory Scholes, Morten L. Kringelbach   +5 more
wiley   +1 more source

Cartwright–Sturmfels Hilbert schemes

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
wiley   +1 more source

Localization sequences for logarithmic topological cyclic homology

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes, Steffen Sagave, Christian Schlichtkrull   +2 more
wiley   +1 more source

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

Pinwheels in symplectic rational and ruled surfaces and non‐squeezing of rational homology balls

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We use almost toric fibrations and the symplectic rational blow‐up to determine when certain Lagrangian pinwheels, which we call liminal, embed in symplectic rational and ruled surfaces. The case of L2,1$L_{2,1}$‐pinwheels, namely Lagrangian RP2s$\mathbb {R}P^2{\rm s}$, answers a question of Kronheimer in the negative, exhibiting a symplectic ...
Nikolas Adaloglou, Johannes Hauber
wiley   +1 more source

Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley   +1 more source

Effective length‐projection bounds for hyperbolic 3‐manifolds diffeomorphic to S×R$S\times \mathbb {R}$

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We give a formula with explicit constants relating the subsurface projection dY(ν−,ν+)$d_Y(\nu ^-,\nu ^+)$ of the end invariants ν−,ν+$\nu ^-,\nu ^+$ of a hyperbolic 3‐manifold Q$Q$ diffeomorphic to S×R$S\times \mathbb {R}$ and the length of the geodesic representative in Q$Q$ of the multicurve ∂Y$\partial Y$.
Gabriele Viaggi
wiley   +1 more source