Results 31 to 40 of about 4,039,367 (143)

Cpn$C_{p^n}$‐equivariant Mahowald invariants

open access: yesProceedings 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
wiley   +1 more source

Stability of quaternionic linear systems [PDF]

open access: yes, 2006
The main goal of this paper is to characterize stability and bounded-input-bounded-output (BIBO)-stability of quaternionic dynamical systems. After defining the quaternion skew-field, algebraic properties of quaternionic polynomials such as divisibility ...
Vettori, Paolo, Pereira, Ricardo
core   +1 more source

Coulomb branch algebras via symplectic cohomology

open access: yesJournal 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
wiley   +1 more source

On quaternionic bisectional curvature [PDF]

open access: yes
In this article we study the concept of quaternionic bisectional curvature introduced by B. Chow and D. Yang for quaternion-Kähler manifolds. We show that non-negative quaternionic bisectional curvature is only realized for the quaternionic projective ...
Macia, Oscar   +2 more
core   +3 more sources

Dual quaternion representation of points, lines and planes

open access: yesDiscrete and Continuous Models and Applied Computational Science
Background. The bulk of the work on dual quaternions is devoted to their application to describe helical motion. Little attention is paid to the representation of points, lines, and planes (primitives) using them. Purpose. It is necessary to consistently
Migran N. Gevorkyan   +4 more
doaj   +1 more source

Twistorial maps between quaternionic manifolds [PDF]

open access: yes, 2010
We introduce a natural notion of quaternionic map between almost quaternionic manifolds and we prove the following, for maps of rank at least one A map between quaternionic manifolds endowed with the integrable almost twistorial structures is twistorial ...
S. Ianus   +10 more
core   +1 more source

Stabilization of Poincaré duality complexes and homotopy gyrations

open access: yesJournal 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

Algebraic tools for the study of quaternionic behavioral systems [PDF]

open access: yes, 2005
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   +2 more
core   +1 more source

On Fico's Lemmata and the homotopy type of certain gyrations

open access: yesBulletin 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

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