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An Introduction to Discrete Morse Theory [PDF]
Vi presenterer en introduksjon til diskret Morse teori, hvor vi starter med å definere simplisialkomplekser og fortsetter med diskrete Morse-funksjoner og induserte gradientvektorfelt. Vi lærer hvordan vi lager den ene fra den andre og hvordan de hjelper
Stene, Nils Mork
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Rigidity and Toledo Invariant for Spin*(8)-Higgs Bundles
In this paper, we study Spin*(8)-Higgs bundles over compact Riemann surfaces, extending the work of Bradlow, García-Prada, and Gothen on SO*(8). The group Spin*(8) is exceptional among classical real forms, as its complexification Spin(8,C) admits ...
Álvaro Antón-Sancho
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[Children of Robert Morse and Frances A. Withycombe, ca. 1910] [picture].
This photograph is in private ownership.; Part of: Robert Morse Withycombe collection.; Title devised by cataloguer based on information supplied by donor.; Condition of original: Some damage.; Electronic reproduction.
Withycombe, Robert Morse, 1868-1936.
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Discrete Morse theory and localization [PDF]
Incidence relations among the cells of a regular CW complex produce a poset-enriched category of entrance paths whose classifying space is homotopy-equivalent to that complex.
Nanda, V, Vidit Nanda, Nanda, Vidit
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Quantum dynamical signatures of topological flow transitions in limit cycle phases
Quantum self-oscillatory phases are ubiquitous in driven-dissipative systems. Classically, each phase is defined by its flow pattern and how stationary sets organize phase space (e.g., fixed points and limit cycles), with transitions triggered by local ...
Alejandro S. Gómez, Javier del Pino
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Robin Forman tarafından geliştirilen ayrık Morse teorisi, bir simpleksler kompleksinin topolojisinin analiz edildiği kullanışlı metotlardan biridir. Bu tez çalışmasında ele alınan makale Robin Forman'ın "A User's Guide to Discrete Morse Theory" adlı ...
Akkaya, Mustafa
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Signatures of Massive Neutrinos in the Cosmic Web via Persistent Homology
We present the second paper in our program characterizing the impact of massive neutrinos on the multiscale cosmic web using global topology and persistent homology.
Hogyun Yu +7 more
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Discrete Morse theory for manifolds with boundary
We introduce a version of discrete Morse theory specific for manifolds with boundary. The idea is to consider Morse functions for which all boundary cells are critical.
Benedetti, Bruno, Benedetti, Bruno,
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Critical sets of PL and discrete Morse theory: a correspondence
Piecewise-linear (PL) Morse theory and discrete Morse theory are used in shape analysis tasks to investigate the topological features of discretized spaces.
Varli, Hanife +2 more
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This photograph is in private ownership.; Part of the Robert Morse Withycombe collection.; Title devised by cataloguer based on information supplied by donor.; Electronic reproduction. Canberra : National Library of Australia, 2002. 1 digital photograph :
Withycombe, Robert Morse, 1868-1936.
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