Results 21 to 30 of about 4,567 (56)
Cohomotopy sets of (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifolds for small n$n$
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Let M$M$ be a closed orientable (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifold, n⩾2$n\geqslant 2$. In this paper, we combine the Postnikov tower of spheres and the homotopy decomposition of the reduced suspension space ΣM$\Sigma M$ to investigate the (integral) cohomotopy sets π*(M)$\pi ^\ast (M)$ for n=2,3,4$n=2,3,4$, under the assumption ...
Pengcheng Li, Jianzhong Pan, Jie Wu
wiley +1 more source
Real models for the framed little n$n$‐disks operads
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
Structure theorems for braided Hopf algebras
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley +1 more source
Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3597-3613, November 2025.Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi +3 more
wiley +1 more source
Engineering Reports, Volume 7, Issue 10, October 2025.This work presents a secure telemedicine cryptosystem based on a novel 4D memristive chaotic oscillator and a Dispatched Gray Code Scrambler (DGCS). Implemented on FPGA, the system ensures power‐efficient encryption, making it suitable for real‐time medical image transmission in IoT healthcare environments.
Fritz Nguemo Kemdoum +3 more
wiley +1 more source
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley +1 more source
Topological Hopf algebras, quantum groups and deformation quantization
, 2003 After a presentation of the context and a brief reminder of deformation quantization, we indicate how the introduction of natural topological vector space topologies on Hopf algebras associated with Poisson Lie groups, Lie bialgebras and their doubles ...
Bonneau, Philippe, Sternheimer, Daniel
core +1 more source
A universal finite‐type invariant of knots in homology 3‐spheres
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract An essential goal in the study of finite‐type invariants of some objects (knots, manifolds) is the construction of a universal finite‐type invariant, universal in the sense that it contains all finite‐type invariants of the given objects. Such a universal finite‐type invariant is known for knots in the 3‐sphere — the Kontsevich integral — and ...
Benjamin Audoux, Delphine Moussard
wiley +1 more source
Legendrian non‐isotopic unit conormal bundles in high dimensions
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract For any compact connected submanifold K$K$ of Rn$\mathbb {R}^n$, let ΛK$\Lambda _K$ denote its unit conormal bundle, which is a Legendrian submanifold of the unit cotangent bundle of Rn$\mathbb {R}^n$. In this paper, we give examples of pairs (K0,K1)$(K_0,K_1)$ of compact connected submanifolds of Rn$\mathbb {R}^n$ such that ΛK0$\Lambda _{K_0}$
Yukihiro Okamoto
wiley +1 more source