Results 31 to 40 of about 157 (127)
Weinstein neighborhood theorems for stratified subspaces
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract By analogy with Weinstein's neighborhood theorem, we prove a uniqueness result for symplectic neighborhoods of a large family of stratified subspaces. This result generalizes existing constructions, for example, in the search for exotic Lagrangians.
Yael Karshon +2 more
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Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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Isotropic Submanifolds of Real Space Forms
Kyungpook mathematical journal, 2012 Abstract. We study some functions de ned on the unit tangent space, which are formedwith the second fundamental form of submanifolds of a real space form. These give anexact expression of isotropy of submanifolds in a real space form and a relationship betweenintrinsic invariants and extrinsic ones. 1. IntroductionThe relationship between intrinsic and
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Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
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Integral Representations over Isotropic Submanifolds and Equations of Zero Curvature
Advances in Mathematics, 1998 The following setting is considered. There is a submanifold \(\Lambda\) of the cotangent bundle \(T^*M\) of a Riemannian manifold \(M\) which is invariant under the Hamiltonian flow and which is isotropic, i.e., the form \(p dq\) is closed on \(\Lambda.\) The authors work with a global integral representation for quasimodes for the quantum Hamiltonian.
Karasev, Mikhail, Vorobjev, Yuri
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
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On the second microlocalization along isotropic submanifolds
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1993 The author's summary: ``Around 1985, Lebeau developed the theory of the theory of the second microlocalisation along isotropic submanifolds, and defined the ``\(\Gamma\)-analytic microfunction'' that had the unique continuation properties along bicharacteristic leaves.
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The GJMS operators in geometry, analysis and physics
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
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