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Discrete Morse Theory Algorithms [PDF]
, 2017 Discrete Morse Theory (DMT) is the discrete version of Morse Theory and has been introduced by Robin Forman. Discrete Morse Theory provides a powerful tool for the analysis of topological spaces.
Nazem, Soroosh
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International Journal of Mathematics and Mathematical Sciences, 1990 A simple proof of a theorem of H. Hopf [1], via Morse theory, is given.
Takis Sakkalis
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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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Periodic solutions of second order Hamiltonian systems with nonlinearity of general linear growth
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we consider a class of second order Hamiltonian system with the nonlinearity of linear growth. Compared with the existing results, we do not assume an asymptotic of the nonlinearity at infinity to exist. Moreover, we allow the system to be
Guanggang Liu
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A Note on the Degenerate Morse Inequalities
, 2000 In this paper we give an analytic proof of the degenerate Morse inequalities in the spirit of E. Witten. The max-min methods are used to estimate the number of ‘small’ eigenvalues of Witten’s deformed Laplacian.
Jianwei, Zhou
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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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Discrete Morse theory and classifying spaces
, 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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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.
openaire +2 more sources
, 2011 Starting from the concept of Morse critical point, introduced in [A. Ioffe and E. Schwartzman, J. Math. Pures Appl.
Marco Degiovanni, Degiovanni, Marco
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Advanced Science, EarlyView.Different from the current research trends that mainly focus on optimizing a single color system, a universal organic–inorganic hybrid strategy is proposed, aiming to synergistically enhance the luminescent properties of red, green, and blue multi‐color inorganic long‐persistent phosphorescent materials by trap depth modulation and antenna effect of ...
Ting Tan +7 more
wiley +1 more source