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Complete 3-manifolds of positive scalar curvature with quadratic deca 

Balacheff, Florent; Sardà, Teo Gil Moreno de Mora; Sabourau, Stéphane (Publication date: 2025-06-04)

We prove that if an orientable 3-manifold M admits a complete Riemannian mètric whose scalar curvature is positive and has a subquadratic decay at infinity, then it decomposes as a (possibly infinite) connected sum of ...

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Ergodic properties of infinite extension of symmetric interval exchange transformations 

Berk, P.; Trujillo, Frank; Wu, H. (Publication date: 2025-06-11)

We prove that skew products with the co cycle given by the function f (x) = a(x-1/2) with a not equal 0 are ergodic for every ergodic symmetric IET in the base, thus giving the full characterization of ergodic extensions ...

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‘t Hooft bundles on the complete flag threefold and moduli spaces of instantons 

Antonelli, V.; Malaspina, F.; Marchesi, Simone; Pons-Llopis, J. (Publication date: 2025-10-25)

In this work we study the moduli spaces of instanton bundles on the flag twistor space F := F (0, 1, 2). We stratify them in terms of the minimal twist supporting global sections and we introduce the notion of (special) ...

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Parabolic Saddles and Newhouse Domains in Celestial Mechanics 

Garrido, M.; Martin, Pau; Paradela, J. (Publication date: 2025-06-23)

In McGehee (J Differ Equ 14:70–88, 1973) McGehee introduced a compactification of the phase space of the restricted 3-body problem by gluing a manifold of periodic orbits “at infinity”. Although from the dynamical point ...

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