Results 31 to 40 of about 3,896,545 (115)

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
wiley   +1 more source

Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy [PDF]

, 2012
The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed.
Musso, Emilio, Emilio Musso, Musso, E.
core   +1 more source

Quantization of the Geodesic Flow on Quaternion Projective Spaces

Annals of Global Analysis and Geometry, 2002
no ...
openaire   +2 more sources

Ambient surgery and tangential homotopy quaternionic projective spaces. [PDF]

Transactions of the American Mathematical Society, 1969
Introduction. In this paper the word manifold will always mean oriented compact C "-manifold. Unless otherwise specified, all homology and cohomology is taken with integral coefficients, and for Mn an n-manifold, [M] E Hn(M, AM) will denote the orientation class of M. A mapf: M-N between n-manifolds is of degree +1 iff*([M])=[N].
openaire   +1 more source

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, Yueshi Hou, Shangjie Zhang   +2 more
wiley   +1 more source

Superelliptic Quaternion Structures for Curve and Surface Generation in Differential Geometry

Mathematics
This paper develops a unified superelliptic quaternionic framework for the generation and differential geometric analysis of curves and surfaces in affine three-space.
Esra Parlak, Zehra Özdemir
doaj   +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

Dynamical properties of quaternionic behavioral systems [PDF]

, 2004
In this paper we study behavioral systems whose trajectories are given as solutions of quaternionic difference equations. As happens in the commutative case, it turns out that quaternionic polynomial matrices play an important role in this context ...
Vettori, Paolo, Pereira, Ricardo
core  

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
wiley   +1 more source

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
wiley   +1 more source