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Monopoly
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HANDO: Hierarchical Autonomous Navigation and Dexterous Omni-loco-manipulation
Jingyuan Sun, Chaoran Wang, Mingyu Zhang, Cui Miao, Hongyu Ji, Zihan Qu, Han Sun, Bing Wang, Qingyi Si
https://arxiv.org/abs/2510.09221

HANDO: Hierarchical Autonomous Navigation and Dexterous Omni-loco-manipulation
Seamless loco-manipulation in unstructured environments requires robots to leverage autonomous exploration alongside whole-body control for physical interaction. In this work, we introduce HANDO (Hierarchical Autonomous Navigation and Dexterous Omni-loco-manipulation), a two-layer framework designed for legged robots equipped with manipulators to perform human-centered mobile manipulation tasks. The first layer utilizes a goal-conditioned autonomous exploration policy to guide the robot to sema…

Khovanov homology can distinguish exotic Mazur manifolds
Gheehyun Nahm
https://arxiv.org/abs/2510.10809 https://arxiv.org/pdf/2510.10809

Khovanov homology can distinguish exotic Mazur manifolds
A Mazur manifold is a compact, contractible 4-manifold that has a handle decomposition with a single 1-handle and a single 2-handle. We show that Khovanov homology can distinguish certain exotic Mazur manifolds.

Affine-Orthogonal Manifolds and Deformation to Levi-Civita Connections
Mihail Cocos
https://arxiv.org/abs/2510.09648 https://arxiv.org/pdf/2510.09648

Affine-Orthogonal Manifolds and Deformation to Levi-Civita Connections
We study a class of affine manifolds equipped with a flat affine connection $\nabla$ and a global Riemannian metric $g$ that is diagonal in local affine coordinates. These structures are closely related to \emph{Hessian manifolds}, where the metric locally arises as the Hessian of a smooth potential. For example, the Hopf manifold $(\mathbb{R}^{n+1}\setminus \{0\}) / \langle x \mapsto 2x \rangle$ with metric $g = (\sum_i x_i^2)^{-1} \sum_i dx_i^2$ admits a proper deformation of $\nabla$ into it…

The Chevalley--Weil formula for finite group actions on higher dimensional compact complex manifolds
Wenfei Liu, Renjie Lyu
https://arxiv.org/abs/2510.10430 https://

The Chevalley--Weil formula for finite group actions on higher dimensional compact complex manifolds
Building on the Atiyah--Singer holomorphic Lefschetz fixed-point theorem, we define ramification modules associated to the fixed loci of a finite group acting on a compact complex manifold. This allows us to generalize the Chevalley--Weil formula for compact Riemann surfaces to higher dimensions. More precisely, let $G$ be a finite group acting on a compact complex manifold $X$, and let $\mathcal{E}$ be a $G$-equivariant locally free sheaf on $X$. Then, in the representation ring $R(G)_\mathbb{…

Non-Hermitian Realization of Quantum Dynamics on Embedded Manifolds
Samuel Alperin
https://arxiv.org/abs/2510.11845 https://arxiv.org/pdf/2510.11845…

Non-Hermitian Realization of Quantum Dynamics on Embedded Manifolds
We show that the Floquet Hamiltonian of a quantum particle driven by a general time-periodic imaginary potential is exactly equivalent, at stroboscopic times, to the Hamiltonian of a free particle constrained to a curved Riemannian manifold with fixed embedding. We illustrate the construction for a sinusoidal drive and for the torus of revolution, and outline how the framework can guide experimental design of curved-space quantum dynamics. Our results unify non-Hermitian Floquet physics with sp…

Forscher warnen vor visuellen Angriffen in Augmented Reality
Virtuelle Schilder, falsche Wege: Eine AR-Demo zeigt, wie gefährlich subtile Manipulation in Augmented Reality werden kann.
https://www.

ManiAgent: An Agentic Framework for General Robotic Manipulation
Yi Yang, Kefan Gu, Yuqing Wen, Hebei Li, Yucheng Zhao, Tiancai Wang, Xudong Liu
https://arxiv.org/abs/2510.11660

ManiAgent: An Agentic Framework for General Robotic Manipulation
While Vision-Language-Action (VLA) models have demonstrated impressive capabilities in robotic manipulation, their performance in complex reasoning and long-horizon task planning is limited by data scarcity and model capacity. To address this, we introduce ManiAgent, an agentic architecture for general manipulation tasks that achieves end-to-end output from task descriptions and environmental inputs to robotic manipulation actions. In this framework, multiple agents involve inter-agent communic…

Glasfaser: Monopolkommission warnt vor Rückkehr alter Machtverhältnisse
Die Wende von Kupfer zu Glasfaser ist eine kritische Phase. Die Monopolwächter fordern eine stärkere Regulierung und Mindeststandards bei Wohnungsanschlüssen.