Results 111 to 120 of about 72,032 (249)
On connective KO–theory of elementary abelian 2–groups [PDF]
Algebraic & Geometric Topology, 2014 A general notion of detection is introduced and used in the study of the cohomology of elementary abelian 2-groups with respect to the spectra in the Postnikov tower of orthogonal K-theory. This recovers and extends results of Bruner and Greenlees and is related to calculations of the (co)homology of the spaces of the associated Omega-spectra by Stong ...
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Continuity of HYM connections with respect to metric variations
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We investigate the set of (real Dolbeault classes of) balanced metrics Θ$\Theta$ on a balanced manifold X$X$ with respect to which a torsion‐free coherent sheaf E$\mathcal {E}$ on X$X$ is slope stable. We prove that the set of all such [Θ]∈Hn−1,n−1(X,R)$[\Theta] \in H^{n - 1,n - 1}(X,\mathbb {R})$ is an open convex cone locally defined by a ...
Rémi Delloque
wiley +1 more source
A Sufficient Condition for Solvability in Groups Admitting Elementary Abelian Operator Groups [PDF]
, 1977 Martin R. Pettet
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Moduli of finite flat torsors over nodal curves
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We show that log flat torsors over a family X/S$X/S$ of nodal curves under a finite flat commutative group scheme G/S$G/S$ are classified by maps from the Cartier dual of G$G$ to the log Jacobian of X$X$. We deduce that fppf torsors on the smooth fiberss of X/S$X/S$ can be extended to global log flat torsors under some regularity hypotheses.
Sara Mehidi, Thibault Poiret
wiley +1 more source
Equivariant geometry of singular cubic threefolds, II
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We study linearizability of actions of finite groups on cubic threefolds with nonnodal isolated singularities.
Ivan Cheltsov +3 more
wiley +1 more source
Simply connected positive Sasakian 5‐manifolds
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We investigate closed simply connected 5‐manifolds capable of hosting positive Sasakian structures. We present a conjectural comprehensive list of such manifolds.
Dasol Jeong, Jihun Park, Joonyeong Won
wiley +1 more source
Ermakov's Superintegrable Toy and Nonlocal Symmetries
Symmetry, Integrability and Geometry: Methods and Applications, 2005 We investigate the symmetry properties of a pair of Ermakov equations. The system is superintegrable and yet possesses only three Lie point symmetries with the algebra sl(2, R).
P.G.L. Leach +3 more
doaj
Elementary abelian 2-group actions on flag manifolds and applications [PDF]
, 1998 Goutam Mukherjee, Parameswaran Sankaran
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Diffeomorphisms of 4‐manifolds from graspers
Proceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.Abstract We relate degree one grasper families of embedded circles to various constructions of diffeomorphisms found in the literature, theta clasper classes of Watanabe, barbell diffeomorphisms of Budney and Gabai, and twin twists of Gay and Hartman. We use a ‘parametrised surgery map’ that for a smooth 4‐manifold M$M$ takes loops of framed embeddings
Danica Kosanović
wiley +1 more source
Representations of elementary abelian p-groups and bundles on Grassmannians
Advances in Mathematics, 2012 We initiate the study of representations of elementary abelian $p$-groups via restrictions to truncated polynomial subalgebras of the group algebra generated by $r$ nilpotent elements, $k[t_1,..., t_r]/(t^p_1,..., t_r^p)$. We introduce new geometric invariants based on the behavior of modules upon restrictions to such subalgebras.
Julia Pevtsova +2 more
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