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This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an... Read More >>
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Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These... Read More >>
This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry. The... Read More >>
This introductory book on braid groups and related topics keeps prerequisites to a minimum, with appendices providing... Read More >>
Originating in mathematical physics, homological mirror symmetry reveals deep connections between different areas... Read More >>
This is the definitive account of the resolution of the Kervaire invariant problem, a major milestone in algebraic... Read More >>
This book gathers the proceedings of the 2018 Abel Symposium, which was held in Geiranger, Norway, on June 4-8,... Read More >>
Other topics covered in the book include the classification of surfaces, group theory, the fundamental group, and... Read More >>
It also makes it possible to replace the usual field of coefficients for cohomology, the field of real numbers,... Read More >>
This volume originated in the workshop held at Nagoya University, August 28–30, 2015, focusing on the surprising... Read More >>
Functioning as a viable alternative to the standard algebraic analysis method, the categorical approach explored... Read More >>
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra,... Read More >>
This book is intended as a one-semester course in general topology, a.k.a. point-set topology, for undergraduate... Read More >>
An advanced treatment of surgery theory for graduate students and researchers Surgery theory, a subfield of geometric... Read More >>
Highlighting their significant connection with classical K-theory—which plays an important role in mathematics and... Read More >>
The D(2) problem is a fundamental problem in low dimensional topology. In broad terms, it asks when a three-dimensional... Read More >>
