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Knots and Primes An Introduction to Arithmetic Topology
This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots,...
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The Cohomology of Monoids
This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech’s original monograph in the Memoirs of the...
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Knotted Fields
This book provides a remarkable collection of contributions written by some of the most accredited world experts in the modern area of Knotted...
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Toric Topology and Polyhedral Products
This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of...
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Symplectic and Contact Geometry A Concise Introduction
This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships between these subjects and other...
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Lectures in Knot Theory An Exploration of Contemporary Topics
This text is based on lectures delivered by the first author on various, often nonstandard, parts of knot theory and related subjects. By exploring...
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Point-Set Topology A Working Textbook
This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid...
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Surgery Theory Foundations
This monograph provides a comprehensive introduction to surgery theory, the main tool in the classification of manifolds.
Surgery theory was developed...
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Infinite Group Actions on Polyhedra
In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central topic in geometric group...
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Lagrangian Floer Theory and Its Deformations An Introduction to Filtered Fukaya Category
A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of...
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Eine spielerische Reise in die geometrische Topologie
Dieses Buch greift auf Elemente aus dem Alltag, der Architektur und der Kunst zurück, um dem Leser elementare Begriffe der geometrischen Topologie zu...
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CAT(0) Cube Complexes An Introduction
In recent years cube complexes have become a cornerstone topic of geometric group theory and have proven to be a powerful tool in other areas, such...
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Topological Obstructions to Stability and Stabilization History, Recent Advances and Open Problems
This open access book provides a unified overview of topological obstructions to the stability and stabilization of dynamical systems defined on...
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Einführung in die Topologische Datenanalyse
Der Einstieg in die Topologische Datenanalysis (TDA) fällt oft nicht leicht, da sie auf der Algebraischen Topologie beruht, einem Gebiet der reinen...
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A Course on Hopf Algebras
This textbook provides a concise, visual introduction to Hopf algebras and their application to knot theory, most notably the construction of...
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Topology and Geometry of Intersections of Ellipsoids in R^n
This book gives an overview of research in the topology and geometry of intersections of quadrics in $\mathbb{R}^n$, with a focus on intersections of...
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Topology
This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It...
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Handbook of Geometry and Topology of Singularities IV
This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state...
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Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube
This book discusses the process by which Ulam's conjecture is proved, aptly detailing how mathematical problems may be solved by systematically...
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Flows on Compact Surfaces The Weil–Hedlund–Anosov Program
This textbook offers a uniquely accessible introduction to flows on compact surfaces, filling a gap in the existing literature. The book can be used...
