Topology

Arising from the 2022 Japan-US Mathematics Institute, this book covers a range of topics in modern algebraic geometry, including birational geometr...

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 sta...

Graduate students typically enter into courses on string theory having little to no familiarity with the mathematical background so crucial to the ...

This book is intended to provide a fast, interdisciplinary introduction to the basic results of p-adic analysis and its connections with mathematic...

This book presents the interplay between topological Markov shifts and CuntzKrieger algebras by providing notations, techniques, and ideas in detai...

Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that su...

Offering a unique resource for advanced graduate students and researchers, this book treats the fundamentals of Quillen model structures on abelian...

The aim of the textbook is two-fold: first to serve as an introductory graduate course in Algebraic Topology and then to provide an application-ori...

This book contains all research papers published by the distinguished Brazilian mathematician Elon Lima. It includes the papers from his PhD thesis...

Mathematical Analysis: Theory and Applications provides an overview of the most up-to-date developments in the field, presenting original contribut...

Fixed point theory of nonlinear operators has been a rapidly growing area of research and plays an important role in the study of variational inequ...

From the preface: Hopf algebras, Hopf fibration of spheres, Hopf-Rinow complete Riemannian manifolds, Hopf theorem on the ends of groups - can one ...

This book represents a novel approach to differential topology. Its main focus is to give a comprehensive introduction to the classification of man...

Given a compact Lie group G and a commutative orthogonal ring spectrum R such that R[G]* = *(R ? G+) is finitely generated and projective over *(R)...

This book presents cutting-edge research, advanced techniques, and practical applications of Algebra Analysis and Topology. It offers in-depth insi...

This text will serve as a user's guide to the study of hyperbolic volume. With clear exposition, the author gives a panoramic view of the many tech...

The Four Corners of Mathematics: A Brief History, from Pythagoras to Perelman describes the historical development of the big ideas in mathematics ...

The Four Corners of Mathematics: A Brief History, from Pythagoras to Perelman describes the historical development of the big ideas in mathematics ...

A classic knot is an embedded simple loop in 3-dimensional space. It can be described as a 4-valent planar graph or network in the horizontal plane...

This book gives a detailed presentation of twisted Morse homology and cohomology on closed finite-dimensional smooth manifolds. It contains a compl...

This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion thro...