Results 81 to 90 of about 32,499 (242)

Floer theory for the variation operator of an isolated singularity

open access: yesJournal of Topology, Volume 18, Issue 4, December 2025.
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae   +3 more
wiley   +1 more source

Optical catastrophes of the swallowtail and butterfly beams

open access: yesNew Journal of Physics, 2017
We experimentally realize higher-order catastrophic structures in light fields presenting solutions of the paraxial diffraction catastrophe integral. They are determined by potential functions whose singular mapping manifests as caustic hypersurfaces in ...
Alessandro Zannotti   +3 more
doaj   +1 more source

Ricci tensor of real hypersurfaces [PDF]

open access: yesPacific Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Unraveling the Role of Triplet–Triplet Annihilation and Photodegradation in Difluoroboron‐Based Organic Laser Gain Materials

open access: yesAngewandte Chemie, Volume 137, Issue 45, November 3, 2025.
Amplified spontaneous emission (ASE) in difluoroboron‐based gain molecules is shown to originate from aggregated singlet states (S1), contradicting its previously assumed phosphorescent origin. Additionally, the delayed emission arises from a triplet–triplet annihilation upconversion (TTA‐UC) mechanism rather than a thermally activated (TADF) process ...
Suman Kuila   +6 more
wiley   +1 more source

Isoparametric and Dupin Hypersurfaces

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
doaj   +1 more source

Dynamics of entanglement in expanding quantum fields

open access: yesJournal of High Energy Physics, 2018
We develop a functional real-time approach to computing the entanglement between spatial regions for Gaussian states in quantum field theory. The entanglement entropy is characterized in terms of local correlation functions on space-like Cauchy ...
Jürgen Berges   +2 more
doaj   +1 more source

Real hypersurfaces in Kähler manifolds [PDF]

open access: yesAsian Journal of Mathematics, 2001
This paper is concerned with the geometry of embedded real hypersurfaces in a Kähler manifold, where isomorphisms are both holomorphic and isometric in the underlying Riemannian structure. The author introduces their local invariants and compatibility relations, solves the local realization problem, and gives a characterization of the metric sphere in \
openaire   +2 more sources

On the Work of Cartan and Münzner on Isoparametric Hypersurfaces

open access: yesAxioms
A hypersurface Mn in a real space form Rn+1, Sn+1, or Hn+1 is isoparametric if it has constant principal curvatures. This paper is a survey of the fundamental work of Cartan and Münzner on the theory of isoparametric hypersurfaces in real space forms, in
Thomas E. Cecil, Patrick J. Ryan
doaj   +1 more source

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