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Discrete Morse Theory

Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invented by Robin Forman in the mid 1990s;

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Morse Theory

Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory;

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Organized Collapse

, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into;

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An Invitation to Morse Theory

This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic;

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Perturbed Gradient Flow Trees and A -algebra Structures in Morse Cohomology

definition of Morse-A -categories for closed oriented manifolds involving families of Morse functions. To make A -structures in Morse theory;

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Perturbed Gradient Flow Trees and A -algebra Structures in Morse Cohomology

definition of Morse-A -categories for closed oriented manifolds involving families of Morse functions. To make A -structures in Morse theory;

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Morse Theory. (AM-51), Volume 51

One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for;

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The Calculus of Variations in the Large

Morse theory is a study of deep connections between analysis and topology. In its classical form, it provides a relationship between the;

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Elementary Applied Topology

Morse theory (including discrete Morse theory, Conley index, and stratified Morse theory), sheaf theory (with an emphasis on cellular sheaves;

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Circle-valued Morse Theory

topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology. Circle;

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Dynamical Systems and Linear Algebra

book presents for the first time in one volume a unified approach via Lyapunov exponents to detailed proofs of Floquet theory, of the;

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Discrete and Computational Geometry

advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincare conjecture;

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Morse Theory for Hamiltonian Systems

introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories and features techniques and;

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Morse Theory for Hamiltonian Systems

introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories and features techniques and;

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New Topological Invariants for Real and Angle Valued Maps

This book is about new topological invariants of real- and angle-valued maps inspired by Morse-Novikov theory, a chapter of topology, which;

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Topology for Computing

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields;

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Topology for Computing

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields;

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Discrete Convex Analysis

) and combinatorial optimization (matroid/submodular function theory) to establish a unified theoretical framework for nonlinear discrete;

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Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31

theory associates to reductive group actions on nonsingular complex projective varieties. These quotient varieties are interesting in particular;

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Geometry, Structure and Randomness in Combinatorics

representations, structural graphs theory, extremal graph theory, Ramsey theory and constrained satisfaction problems.;

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Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15

The description for this book, Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), will be forthcoming.;

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Discrete Mathematics and Graph Theory

This textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference;

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Advances in Sampling Theory and Techniques

This book provides both the most updated formulations of the sampling theory and practical algorithms of image sampling with sampling rates;

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Discrete Geometry and Symmetry

fields. While the classical problems of discrete geometry have a strong connection to geometric analysis, coding theory, symmetry groups, and;

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Morse brigade

Morse brigade;...

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