Topology books

This book gives an intuitive and hands-on introduction to Topological Data Analysis (TDA). The first third of the...  Read More >>

This introductory book contains a rich collection of exercises and worked examples in Metric Spaces. Other than...  Read More >>

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character...  Read More >>

Apart from a unique new presentation and being a comprehensive textbook on metric spaces, it contains some special...  Read More >>

It contains enhanced versions of the lecture notes of the two mini-courses plus those of one research talk given...  Read More >>

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This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide...  Read More >>

Graduate students typically enter into courses on string theory having little to no familiarity with the mathematical...  Read More >>

Young-Hoon Kiem discusses classical enumerative geometry before string theory and improvements after string theory...  Read More >>

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We extend the notions of strongly separated and weakly separated collections introduced by Leclerc and Zelevinsky...  Read More >>

Generalized permutahedra are polytopes that arise in combinatorics, algebraic geometry, representation theory, topology,...  Read More >>

We define enumerative invariants associated to a hybrid Gauged Linear Sigma Model. We prove that in the relevant...  Read More >>

The primary goal of this work is to construct p-adic families of modular forms of half-integral weight, by using...  Read More >>

Further applications include counting square-tiled surfaces and mapping class group orbits, and investigating random...  Read More >>

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""The Shape of Data shows how to use geometry- and topology-based algorithms for machine learning. The book focuses...  Read More >>

Offering a proper background on topology, analysis, and algebra, this volume discusses the topological groups and...  Read More >>

This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus...  Read More >>

This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary...  Read More >>

This book is suitable for graduate level courses in differential geometry, serving both students and teachers. It...  Read More >>

A systematic study of symplectic convexity for integrable Hamiltonian systems with elliptic and focus-focus singularities....  Read More >>