Results 21 to 30 of about 5,423,449 (300)
Prescribing Morse Scalar Curvatures: Pinching and Morse Theory [PDF]
Communications on Pure and Applied Mathematics, 2021 AbstractWe consider the problem of prescribing conformally the scalar curvature on compact manifolds of positive Yamabe class in dimension . We prove new existence results using Morse theory and some analysis on blowing‐up solutions under suitable pinching conditions on the curvature function.
Malchiodi, Andrea, Mayer, Martin
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Higgs bundles for M-theory on G 2-manifolds
Journal of High Energy Physics, 2019 M-theory compactified on G 2-holonomy manifolds results in 4d N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories coupled to gravity. In this paper we focus on the gauge sector of such compactifications by studying the Higgs bundle obtained from a ...
Andreas P. Braun +3 more
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Topology, 1999 The ``Fundamental Theorem'' of stratified Morse theory [\textit{M. Goresky} and \textit{R. MacPherson}, `Stratified Morse theory', Springer Berlin (1988; Zbl 0639.14012)] characterizes the transition between different levels of the Morse function in terms of tangential and normal Morse data.
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Smoothing, scattering and a conjecture of Fukaya
Forum of Mathematics, PiIn 2002, Fukaya [19] proposed a remarkable explanation of mirror symmetry detailing the Strominger–Yau–Zaslow (SYZ) conjecture [47] by introducing two correspondences: one between the theory of pseudo-holomorphic curves on a Calabi–Yau manifold ...
Kwokwai Chan +2 more
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Hamiltonian Monodromy and Morse Theory [PDF]
Communications in Mathematical Physics, 2019 Abstract We show that Hamiltonian monodromy of an integrable two degrees of freedom system with a global circle action can be computed by applying Morse theory to the Hamiltonian of the system. Our proof is based on Takens’s index theorem, which specifies how the energy-h Chern number changes when h passes a non-degenerate critical value, and a choice ...
N. Martynchuk +2 more
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Discrete Morse theory and classifying spaces [PDF]
, 2018 The aim of this paper is to develop a refinement of Forman's discrete Morse theory. To an acyclic partial matching μ on a finite regular CW complex X, Forman introduced a discrete analogue of gradient flows.
Tamaki, D +4 more
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Advanced Functional Materials, EarlyView.Advanced ink systems for solution‐processed textile triboelectric nanogenerators are systematically summarized, spanning conductive, tribo‐negative, and tribo‐positive layers. By connecting ink chemistry, deposition methods, and device function, the present review reveals the key governing principles of solution development and highlights practical ...
Xinlong Sun, Stephen Beeby
wiley +1 more source
A Neophyte's Journey through Qualitative Analysis Using Morse's Cognitive Processes of Analysis
International Journal of Qualitative Methods, 2008 : In the early stages of her master's thesis the author became increasingly concerned about how she would analyze the data for her planned critical interpretive study. She felt that she needed clear direction about the process of qualitative analysis but
Rachel Walker RN, BA, BN, MN +2 more
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Robust Stitching Interface and Deep Learning Empowered Hydrogel Human‐Machine Interface
Advanced Science, EarlyView.A molecular design strategy is presented that exploits synergistic carboxylate anion–quaternary ammonium interactions to simultaneously strengthen the hydrogel–PET interface and the bulk hydrogel network. Integrated with deep learning signal processing, the stable hydrogel–PET interface enables consistent signal acquisition and reliable human‐machine ...
Hao Dong +11 more
wiley +1 more source
Australian Journal of Social Issues, EarlyView.ABSTRACT As modes of activism rapidly evolve, activists—both seasoned and emerging—must increasingly navigate a hybrid terrain of both digital and non‐digital engagement. This paper draws on the personal narratives of 16 nascent activists based in Australia to explore how they develop competencies related to digital storytelling, which is critical to ...
Garth Stahl +5 more
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