Results 51 to 60 of about 4,039,367 (143)

Stable equivalence relations on 4‐manifolds

Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.
Abstract Kreck's modified surgery gives an approach to classifying smooth 2n$2n$‐manifolds up to stable diffeomorphism, that is, up to connected sum with copies of Sn×Sn$S^n \times S^n$. In dimension 4, we use a combination of modified and classical surgery to study various stable equivalence relations which we compare to stable diffeomorphism.
Daniel Kasprowski, John Nicholson, Simona Veselá   +2 more
wiley   +1 more source

The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem

Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.
Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh, Minh Lam Nguyen   +1 more
wiley   +1 more source

On Connectedness of the Space of Harmonic 2-Spheres in Quaternionic Projective Spaces

Tokyo Journal of Mathematics, 1994
Let \(\mathbb{H} P^ n(c)\) be an \(n\)-dimensional quaternionic projective space with the maximum \(c\) of the sectional curvatures. It is known that there are two natural twistor spaces \({\mathcal T}_ n\) and \(\mathbb{C} P^{2n +1}\) over \(\mathbb{H} P^ n\). A harmonic map \(\varphi : \Sigma \to\mathbb{H} P^ n(c)\) is called strongly isotropic (resp.
openaire   +3 more sources

The string topology coproduct on complex and quaternionic projective space

On the free loop space of compact symmetric spaces Ziller introduced explicit cycles generating the homology of the free loop space. We use these explicit cycles to compute the string topology coproduct on complex and quaternionic projective space.
Stegemeyer, Maximilian
core   +1 more source

Unification of Conformal and Fuzzy Gravities With Internal Interactions Resulting in SO(10) and a Possible Probe Through Stochastic Gravitational Wave Background

Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.
Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis, Danai Roumelioti, Stelios Stefas, George Zoupanos   +3 more
wiley   +1 more source

On a higher dimensional worm domain and its geometric properties

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We construct new three‐dimensional variants of the classical Diederich–Fornæss worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We also show that their Bergman projections do not preserve the Sobolev space for sufficiently large Sobolev indices.
Steven G. Krantz, Marco M. Peloso, Caterina Stoppato   +2 more
wiley   +1 more source

Simple closed curves, non‐kernel homology and Magnus embedding

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We consider the subspace of the homology of a covering space spanned by lifts of simple closed curves. Our main result is the existence of unbranched covers of surfaces where this is a proper subspace. More generally, for a fixed finite solvable quotient of the fundamental group we exhibit a cover whose homology is not generated by the lifts ...
Adam Klukowski
wiley   +1 more source

On the stability of the quaternion projective space

Reports on Mathematical Physics
10 pages, revised version. We have harmonized the signs of two formulas taken from different references, but which corresponded to some distinct sign conventions for the Riemannian curvature tensor.
openaire   +2 more sources

An Algebraic Roadmap of Particle Theories

Annalen der Physik, Volume 537, Issue 4, April 2025.
The SO(10) grand unified theory, the Georgi–Glashow SU(5) grand unified theory, the Pati–Salam model, the Left–Right Symmetric model, and the Standard model have been studied extensively since the 1970s. Recasting these models in a division algebraic language elucidates how they are each in fact connected.
Nichol Furey
wiley   +1 more source

Immersing projective spaces in Euclidean space

, 1991
SynopsisUsing theKOℝ/2-theoretic obstruction theory developed in [4] and [5], necessary and sufficient conditions are derived for quaternionic projective spaces ℍPkand odd-dimensional complex projective spaces ℂP2k+1, of real dimensionmsay, to immerse in
M. C. Crabb
core   +1 more source