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Cohomology and its applications on multiplicative Hom-$ \delta $-Jordan Lie color triple systems
AIMS MathematicsThe theory of cohomologies on multiplicative Hom-$ \delta $-Jordan Lie color triple systems is given. As an application, deformations and extensions on the multiplicative Hom-$ \delta $-Jordan Lie color triple system are characterized in view of relevant
Lili Ma, Qiang Li
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AdS 6 T-duals and type IIB AdS 6 × S 2 geometries with 7-branes
Journal of High Energy Physics, 2019 We show that the first AdS 6 backgrounds in Type IIB supergravity known in the literature, namely those constructed via T-duality from the Brandhuber-Oz solution to massive IIA, fit within an extension of the global AdS 6 × S 2 solutions with 7-branes ...
Yolanda Lozano +2 more
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Witten genera of complete intersections
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc$\text{Spin}^c$‐manifolds and in other Spinc$\text{Spin}^c$‐manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz.
Michael Wiemeler
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On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
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Advanced Materials, Volume 38, Issue 1, 2 January 2026.Even‐denominator 5/2 fractional state in trilayer graphene/V‐doped WSe2 heterostructure, mediated by proximitized magnetism, is demonstrated. An exceptionally high energy gap ∆5/2 (48 K) for the 5/2 state, significantly surpassing previous values in semiconductors and bilayer graphene (∆5/2 < 1 K) is reported.
Pramod Ghising +7 more
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Electrical Step‐Edge Contact to a Topological Superconductor Candidate 2M‐WS2
Advanced Science, Volume 13, Issue 2, 9 January 2026.This work develops a step‐edge contact technique for encapsulated 2M‐WS2, effectively protecting the material from contamination and achieving ultralow contact resistance ( 65 µm). Highly transparent interfaces, as evidenced by Andreev reflection, enable the observation of intrinsic superconducting properties.
Qikang Gan +19 more
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Frattini submultigroups of multigroups
Ratio Mathematica, 2020 In this paper, we introduce and study maximal submultigroups and present some of its algebraic properties. Frattini submultigroups as an extension of Frattini subgroups is considered.
Joseph Achile Otuwe, Musa Adeku Ibrahim
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Two Types of Non‐Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains
Advanced Science, Volume 13, Issue 2, 9 January 2026.In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Yufu Liu +6 more
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Splitting of extensions in the category of locally compact abelian groups [PDF]
International Journal of Group Theory, 2014 Let $pounds$ be the category of all locally compact abelian (LCA) groups. In this paper, the groups $G$ in $pounds$ are determined such that every extension $0to Xto Yto Gto 0$ with divisible, $sigma-$compact $X$ in $pounds$ splits. We also determine the
Hossein Sahleh , Akbar Alijani
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Annalen der Physik, Volume 538, Issue 1, January 2026.The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
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