Results 21 to 30 of about 145 (132)
$J$-groups of the quaternionic spherical space forms
Hiroshima Mathematical Journal, 1994 Let \(Q_ m\) \((m \geq 2)\) be the subgroup of the unit sphere \(S^ 3\) in the quaternion field \(H\) generated by the two elements \(x = \exp (\pi i/2^{m - 1})\) and \(y = j\). The action of \(Q_ m\) on the unit sphere \(S^{4n + 3}\) in the quaternion \((n + 1)\)-space is given by the diagonal action. Let \(N^ n (m)\) denote the quotient manifold \(S^{
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Totally umbilical submanifolds of quaternion-space-forms [PDF]
Journal of the Australian Mathematical Society, 1978 AbstractTotally umbilical submanifolds of dimension greater than four in quaternion-space-forms are completely classified.
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Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, Volume 299, Issue 8, Page 1894-1916, August 2026.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
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Cpn$C_{p^n}$‐equivariant Mahowald invariants
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract The classical Mahowald invariant is an operation that systematically produces new elements in the stable homotopy groups of spheres from known ones. We introduce the Cpn$C_{p^n}$‐Mahowald invariant: a relation π★SCpn−1⇀π*S$\pi _\star S_{\mathchoice{{ C_{p^{n-1}}}}{{\textstyle C_{p^{n-1}}}}{{\scriptstyle C_{p^{n-1}}}}{{\scriptscriptstyle C_{p ...
William Balderrama +2 more
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Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\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 +2 more
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Stabilization of Poincaré duality complexes and homotopy gyrations
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Stabilization of manifolds by a product of spheres or a projective space is important in geometry. There has been considerable recent work that studies the homotopy theory of stabilization for connected manifolds. This paper generalizes that work by developing new methods that allow for a generalization to stabilization of Poincaré duality ...
Ruizhi Huang, Stephen Theriault
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A CRDNet‐Based Watermarking Algorithm for Fused Visible–Infrared Images
Advanced Intelligent Systems, Volume 8, Issue 3, March 2026.CRDnet includes encoders and decoders based on residual and dense structures, a fusion network robust to 12 visible and infrared image fusion algorithms, and predictors for predicting watermarked infrared images. The encoder and decoder incorporate preprocessing steps, attention mechanisms, and activation functions suitable for infrared images.
Yu Bai +4 more
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Generalized Wintgen inequality for Lagrangian submanifolds in quaternionic space forms [PDF]
Mathematical Inequalities & Applications, 2019 Summary: In this paper, we obtain the generalized Wintgen inequality, in the case of a Lagrangian submanifold in quaternionic space forms. We also give a proof for the DDVV inequality in the case of slant submanifolds of a quaternionic space form.
Macsim, Gabriel, Ghişoiu, Valentin
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On Fico's Lemmata and the homotopy type of certain gyrations
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We undertake to determine the homotopy type of gyrations of sphere products and of connected sums, thereby generalising results known in earlier literature as ‘Fico's Lemmata’ which underpin gyrations in their original formulation from geometric topology.
Sebastian Chenery
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Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama +2 more
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