Results 71 to 80 of about 57,263 (168)

Discrete Morse theory and L(2) homology [PDF]

, 1997
Thesis (M.Sc.) -- University of Adelaide, Dept.
Yates, Stuart
core  

Discrete morse theory and the cohomology ring [PDF]

Transactions of the American Mathematical Society, 2002
Summary: In [\textit{R. Forman}, Adv. Math. 134, 90-145 (1998; Zbl 0896.57023)], we presented a discrete Morse theory that can be applied to general cell complexes. In particular, we defined the notion of a discrete Morse function, along with its associated set of critical cells.
openaire   +2 more sources

Rigidity and Toledo Invariant for Spin*(8)-Higgs Bundles

Mathematics
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
doaj   +1 more source

Global and Local Deviance Effects in the Processing of Temporal Patterns

Annals of the New York Academy of Sciences, Volume 1556, Issue 1, February 2026.
ABSTRACT Perceptual and sensorimotor events are often experienced as temporal patterns, that is, identified as sequences based on their temporal features. While current timing models propose separate mechanisms supporting the processing of single intervals and temporal patterns, they leave partially unclear whether the latter entails the processing of ...
Dunia Giomo, Romain Brasselet, Gianfranco Fortunato, Domenica Bueti   +3 more
wiley   +1 more source

Counting and Discrete Morse Theory

UF Journal of Undergraduate Research, 2019
We examine enumerating discrete Morse functions on graphs up to equivalence by gradient vector fields and by restrictions on the codomain.  We give formulae for the number of discrete Morse functions on specific classes of graphs (line, cycle, and bouquet of circles).
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Discrete Morse theory for manifolds with boundary [PDF]

Transactions of the American Mathematical Society, 2012
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. We obtain "Relative Morse Inequalities" relating the homology of the manifold to the number of interior critical cells.
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Transferring Porosity Across Physical States Using Metal–Organic Cages: Porous Liquids, Glasses, Rubbers, and More

Angewandte Chemie, Volume 138, Issue 1, 2 January 2026.
Discrete porous metal–organic cages provide a platform to extend porosity beyond crystalline solids. Their peripheral functionality governs inter‐cage interactions and physical state, enabling preservation of intrinsic porosity across liquids, glasses, and rubbers.
Francisco Sánchez‐Férez, Arnau Carné‐Sánchez, Daniel Maspoch   +2 more
wiley   +1 more source

Discrete Morse Theory Algorithms

, 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. The main focus of DMT, like its predecessor Morse theory, is based on finding critical points and constructing a simpler topological space which is homotopy ...
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Morse Sequences: A Simple Approach to Discrete Morse Theory

Journal of Mathematical Imaging and Vision
In this paper, we develop the notion of a Morse sequence, which provides an alternative approach to discrete Morse theory, and which is both simple and effective. A Morse sequence on a finite simplicial complex is a sequence composed solely of two elementary operations, that is, expansions (the inverse of a collapse), and fillings (the inverse of a ...
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Persistence in discrete Morse theory [PDF]

, 2022
Bauer, Ulrich, University of Göttingen
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