Results 31 to 40 of about 4,769 (119)

Which singular tangent bundles are isomorphic?

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Cohomology of bundles on homological Hopf manifold

, 2008
We discuss the properties of complex manifolds having rational homology of $S^1 \times S^{2n-1}$ including those constructed by Hopf, Kodaira and Brieskorn-van de Ven.
A. Andreotti, A. Grothendieck, A. Haefliger, A. Libgober, Anatoly Libgober, B. Totaro, C. Okonek, D. Mall, D. Mall, E. Brieskorn, F. Bosio, G. Nin, G. Scheja, H. E. Hamm, H. Vosegaard, J. Milnor, J. P. Serre, K. Kodaira, K. Kodaira, M. Maruyama, P. Deligne, R. Narasimhan, S. Morita, S. Stephen, V. Danilov, W. Ebeling, Y. T. Siu, Y. T. Siu   +27 more
core   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

Mathematische Nachrichten, Volume 299, Issue 4, Page 704-763, April 2026.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt, Markus Holzmann, Christian Stelzer‐Landauer   +2 more
wiley   +1 more source

Twistor interpretation of slice regular functions

, 2017
Given a slice regular function $f:\Omega\subset\mathbb{H}\to \mathbb{H}$, with $\Omega\cap\mathbb{R}\neq \emptyset$, it is possible to lift it to a surface in the twistor space $\mathbb{CP}^{3}$ of $\mathbb{S}^4\simeq \mathbb{H}\cup \{\infty\}$ (see ...
Altavilla, Amedeo
core   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

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
wiley   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

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, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Graph potentials and topological quantum field theories

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay   +2 more
wiley   +1 more source

Programmable Dimensional Lithography with Digital Micromirror Devices for Multifunctional Microarchitectures

Advanced Materials Technologies, Volume 11, Issue 5, 6 March 2026.
This review explores recent advances in digital micromirror device (DMD)‐based lithography, focusing on its programmable light modulation, multi‐material compatibility, and dimensional patterning strategies. It highlights innovations from optical system design to materials integration and multifunctional applications, positioning DMD lithography as a ...
Yubin Lee, Byungcheon Yoo, Chaeyeong Ryu, Jongwon Oh, Dahye Baek, Jiseok Lee   +5 more
wiley   +1 more source

Dispersion‐Less Dissipative Soliton Fiber Laser

Laser &Photonics Reviews, Volume 20, Issue 6, 18 March 2026.
A dispersion‐less fiber laser architecture generates high‐energy, pedestal‐free picosecond pulses without resorting to conventional pulse stretching. This energy‐managed laser achieves remarkable flexibility in pulse parameters, delivering up to 0.54 μJ$\mathrm{\mu}\mathrm{J}$ pulses with minimal spectral distortion using standard telecom components ...
Mostafa I. Mohamed, Aurélien Coillet, Philippe Grelu   +2 more
wiley   +1 more source