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Stratified Morse Theory in Arrangements [PDF]
, 2006 This paper is a survey of our work based on the stratified Morse theory of Goresky and MacPherson. First we discuss the Morse theory of Euclidean space stratified by an arrangement.
Daniel C. Cohen, Peter Orlik
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Morse theory for C*-algebras: a geometric interpretation of some noncommutative manifolds
Applied General Topology, 2011 The approach we present is a modification of the Morse theory for unital C*-algebras. We provide tools for the geometric interpretation of noncommutative CW complexes. Some examples are given to illustrate these geometric information.
Vida Milani +2 more
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Three Nontrivial Solutions for Second-Order Partial Difference Equation via Morse Theory [PDF]
Journal of Function Spaces, 2022 In the present paper, we consider a second-order nonlinear partial difference equation with Dirichlet boundary conditions. Applying variational method together with the Morse theory, we establish a criterion to obtain at least three nontrivial solutions.
Yuhua Long, Huan Zhang
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Fundamental theorems of Morse theory on posets
AIMS Mathematics, 2022 We prove a version of the fundamental theorems of Morse theory in the setting of finite partially ordered sets. By using these results we extend Forman's discrete Morse theory to more general cell complexes and derive the Morse-Pitcher inequalities in ...
D. Fernández-Ternero +3 more
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Heliyon, 2022 A number of interaction energy types are employed in the vibrations studies, especially in the spectroscopic analysis, such as the harmonic oscillator and Morse oscillator.
Marwan Al-Raeei
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Bulk modulus for Morse potential interaction with the distribution function based
Chemical Thermodynamics and Thermal Analysis, 2022 The bulk modulus is a significant coefficient for the study of the compressible behaviour of the materials in the bulk case. The bulk moduli can be determined via the experimental method by measuring of the elastic parameters, via the semi-empirical ...
Marwan Al-Raeei
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On the Morse–Novikov Cohomology of blowing up complex manifolds
Comptes Rendus. Mathématique, 2020 Inspired by the recent works of S. Rao–S. Yang–X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse–Novikov cohomology groups, we give a new simple proof of the blow-up formula for Morse–Novikov cohomology by introducing the relative ...
Zou, Yongpan
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Morse potential specific heat with applications: an integral equations theory based
BMC Chemistry, 2022 The specific heat in its molar form or mass form is a significant thermal property in the study of the thermal capacity of the described system. There are two basic methods for the determination of the molar specific heat capacity, one of them is the ...
Marwan Al-Raeei
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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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Morse Theory without Non-Degeneracy [PDF]
The Quarterly Journal of Mathematics, 2021 AbstractWe describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any non-degeneracy assumptions except that the critical locus must have only finitely many connected components.
Kirwan, F, Penington, G
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