Results 21 to 30 of about 205,497 (296)
Morse Theory and Tilting Sheaves [PDF]
Pure and Applied Mathematics Quarterly, 2006 Dedicated to R.
David Nadler
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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 ...
Nikolay Martynchuk +3 more
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Discrete Morse theory on digraphs [PDF]
Pure and Applied Mathematics Quarterly, 2021 In this paper, we give a necessary and sufficient condition that discrete Morse functions on a digraph can be extended to be Morse functions on its transitive closure, from this we can extend the Morse theory to digraphs by using quasi-isomorphism between path complex and discrete Morse complex, we also prove a general sufficient condition for digraphs
Lin, Yong, Wang, Chong, Yau, Shing-Tung
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Morse theory for manifolds with boundary [PDF]
Algebraic & Geometric Topology, 2016 We develop Morse theory for manifolds with boundary. Besides standard and expected facts like the handle cancellation theorem and the Morse lemma for manifolds with boundary, we prove that, under a topological assumption, a critical point in the interior of a Morse function can be moved to the boundary, where it splits into a pair of boundary critical ...
Borodzik, Maciej +2 more
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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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Multiple Periodic Solutions to Nonlinear Discrete Hamiltonian Systems
Advances in Difference Equations, 2007 An existence result of multiple periodic solutions to the asymptotically linear discrete Hamiltonian systems is obtained by using the Morse index theory.
Bo Zheng
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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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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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Morse theory for the uniform energy [PDF]
Journal of Geometry, 2017 In this paper we develop a Morse theory for the uniform energy. We use the one-sided directional derivative of the distance function to study the minimizing properties of variations through closed geodesics. This derivative is then used to define a one-sided directional derivative for the uniform energy which allows us to identify gradient-like vectors
Ian M. Adelstein, Jonathan Epstein
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