(Išleidimo metai: 10-Feb-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108837989)
The language of 8-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. To explain what exactly an 8-category is requires various technical models, raising t...Daugiau...
(Išleidimo metai: 02-Jan-2025, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009449465)
Abelian model categories are receiving more attention in contemporary research. Including clear diagrammatic proofs, the book provides an elementary treatment of the foundations of abelian and exact model categories. A self-contained introduction for...Daugiau...
(Išleidimo metai: 21-Mar-2024, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009257817)
This book introduces convex polytopes and their graphs, alongside the results and methodologies required to study them. It guides the reader from the basics to current research, presenting many open problems to facilitate the transition. The book inc...Daugiau...
(Išleidimo metai: 10-Feb-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108837989)
The language of 8-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. To explain what exactly an 8-category is requires various technical models, raising t...Daugiau...
(Išleidimo metai: 02-Jul-2020, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108491068)
Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to physics. If the space of solutions is infinite dimensional, it becomes necessary to general...Daugiau...
(Išleidimo metai: 16-Apr-2020, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108479622)
Category theory has at least two important features. The first one is that it allows us to structure our mathematical world. Many constructions that you encounter in your daily life look structurally very similar, like products of sets, products of...Daugiau...
(Išleidimo metai: 26-Mar-2020, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108482783)
This comprehensive introduction to stable homotopy theory presents the foundations of this often daunting subject together in one place for the first time. Writing with beginning graduate students in mind, the authors begin with the motivating phenom...Daugiau...
(Išleidimo metai: 31-Oct-2019, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108476355)
Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world, one can move, send and receive information only in certain admissible directions but eventually can reach every position from any other. In the last tw...Daugiau...
(Išleidimo metai: 02-May-2019, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108473200)
This user-friendly book introduces modern homotopy theory through the lens of higher categories after Joyal and Lurie. Starting from scratch it guides graduate students and researchers through the powerful tools that the theory provides for applicati...Daugiau...
(Išleidimo metai: 06-Dec-2018, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108428033)
This is the first book to provide a broad, conceptual introduction to the field of chromatic homotopy, an active area of current research. It will be useful for graduate students interested in modern developments in algebraic topology and their links...Daugiau...
(Išleidimo metai: 24-Aug-2017, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108422628)
This up-to-date introduction to Griffiths theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. The second edition has been thoroughly revised and now includes a new third section coverin...Daugiau...
(Išleidimo metai: 26-Sep-2016, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781107153042)
K3 surfaces are central objects in mathematics and connect to string theory in physics. By studying the many rich aspects of these surfaces, this book surveys powerful techniques in algebraic geometry. Working from the basics to recent breakthroughs,...Daugiau...
(Išleidimo metai: 04-Jul-2016, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781107153523)
Fully illustrated and rigorous in its approach, this is a comprehensive account of geometric techniques for studying the topology of smooth manifolds. Little prior knowledge is assumed, giving advanced students and researchers an accessible route int...Daugiau...
(Išleidimo metai: 15-Nov-2012, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521513630)
This second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendiecks local cohomology theory, including in multi-graded situations, and provides many illustrations of the theory in commutative alg...Daugiau...
Incorporated in this volume are the first two books in Mukais series on Moduli Theory. The notion of a moduli space is central to geometry. However, its influence is not confined there; for example the theory of moduli spaces is a crucial ingredien...Daugiau...
(Išleidimo metai: 08-Sep-2011, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781107008540)
Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of s...Daugiau...
(Išleidimo metai: 23-Jun-2011, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781107005969)
Fusion systems are a recent development in finite group theory and sit at the intersection of algebra and topology. This book is the first to deal comprehensively with this new and expanding field, taking the reader from the basics of the theory rig...Daugiau...
(Išleidimo metai: 23-Jul-2010, Paperback, Leidėjas: Cambridge University Press, ISBN-13: 9780521170321)
The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry....Daugiau...
(Išleidimo metai: 23-Jul-2010, Paperback, Leidėjas: Cambridge University Press, ISBN-13: 9780521170338)
The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry....Daugiau...
To make the book accessible the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the new reader can penetrate rather deeply...Daugiau...
The purpose of this book is to study the relation between the representation ring of a finite group and its integral cohomology by means of characteristic classes. In this way it is possible to extend the known calculations and prove some general res...Daugiau...
