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Twisted Morse Complexes Morse Homology and Cohomology with Local Coefficients
This book gives a detailed presentation of twisted Morse homology and cohomology on closed finite-dimensional smooth manifolds. It contains a...
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Approximate Fixed Points of Nonexpansive Mappings
Fixed point theory of nonlinear operators has been a rapidly growing area of research and plays an important role in the study of variational...
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Geometry and Topology of Low Dimensional Systems Chern-Simons Theory with Applications
This book introduces the field of topology, a branch of mathematics that explores the properties of geometric space, with a focus on low-dimensional...
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Research Topics in Analysis, Volume II Applications
This book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key...
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An Introduction to C*-Algebras and Noncommutative Geometry
This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a...
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Basic Oka Theory in Several Complex Variables
This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables,...
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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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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... -
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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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... -
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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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,... -
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... -
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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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... -
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... -
A Comprehensive Textbook on Metric Spaces
This textbook provides a comprehensive course in metric spaces. Presenting a smooth takeoff from basic real analysis to metric spaces, every chapter...
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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...