Results 11 to 20 of about 14,048 (109)
Stable homotopy groups of spheres. [PDF]
Proc Natl Acad Sci U S A, 2020 Isaksen DC, Wang G, Xu Z.
europepmc +2 more sources
Two Types of Non-Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains. [PDF]
Adv Sci (Weinh)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.
Liu Y +6 more
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On nontriviality of homotopy groups of spheres
, 2015 For $n\geq 2$, the homotopy groups $\pi_n(S^2)$ are non-zero.Comment: 8 ...
Ivanov, Sergei O. +2 more
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The homotopy type of the loops on $(n-1)$-connected $(2n+1)$-manifolds
, 2018 For $n\geq 2$ we compute the homotopy groups of $(n-1)$-connected closed manifolds of dimension $(2n+1)$. Away from the finite set of primes dividing the order of the torsion subgroup in homology, the $p$-local homotopy groups of $M$ are determined by ...
A Berglund +24 more
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The space of metrics of positive scalar curvature [PDF]
, 2014 We study the topology of the space of positive scalar curvature metrics on high dimensional spheres and other spin manifolds. Our main result provides elements of infinite order in higher homotopy and homology groups of these spaces, which, in contrast ...
Hanke, Bernhard +2 more
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The definable content of homological invariants II: Čech cohomology and homotopy classification
Forum of Mathematics, PiThis is the second installment in a series of papers applying descriptive set theoretic techniques to both analyze and enrich classical functors from homological algebra and algebraic topology.
Jeffrey Bergfalk +2 more
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Samelson products in p-regular exceptional Lie groups [PDF]
, 2014 The (non)triviality of Samelson products of the inclusions of the spheres into p-regular exceptional Lie groups is completely determined, where a connected Lie group is called p-regular if it has the p-local homotopy type of a product of spheres.Comment:
Hasui, Sho +2 more
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Metasurfaces and Metadevices for Topological Electromagnetic Waves
Advanced Physics Research, EarlyView.Optical topologies refer to diverse topological localized structures made by diverse parameters of light fields, such as vortices, skyrmions, and hopfions. This article navigates a direction of metasurface‐based integrated devices for generation, manipulation and detection of novel topologies of light, which would be a rapidly growing interdisciplinary
Rensheng Xie +3 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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