Motivic Homotopy Theory and Refined Enumerative Geometry, Federico Binda, Manh Toan Nguyen, Marc Levine, Oliver Rondigs
Автор: John Greenlees Название: Axiomatic, Enriched and Motivic Homotopy Theory ISBN: 1402018339 ISBN-13(EAN): 9781402018336 Издательство: Springer Рейтинг: Цена: 194730.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Consists of a series of expository articles on axiomatic, enriched and motivic homotopy theory arising out of a NATO Advanced Study Institute at the Isaac Newton Institute for the Mathematical Sciences in Cambridge, UK in September 2002.
Автор: Sebastian Xambo-Descamps Название: Enumerative Geometry ISBN: 3540528113 ISBN-13(EAN): 9783540528111 Издательство: Springer Рейтинг: Цена: 32560.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Describes enumerative geometry and intersection theory.
Автор: Kai Behrend; Marcos Marino; Marco Manetti; Michael Название: Enumerative Invariants in Algebraic Geometry and String Theory ISBN: 3540798137 ISBN-13(EAN): 9783540798132 Издательство: Springer Рейтинг: Цена: 41880.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: There has been a growing interaction between algebraic geometry and certain areas of theoretical high-energy physics. This volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, covers the most interesting findings in this subject.
Автор: Liu Yanpei Название: Enumerative Theory Of Maps ISBN: 0792355997 ISBN-13(EAN): 9780792355991 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: As soon as the problem without considering the symmetry is solved for one kind of map, the general problem with symmetry can always, in principle, be solved from what we have known about the automorphism of a polyhedron, a synonym for a map, which can be determined efficiently according to another monograph of the present author [Liu58].
Автор: Antoine Chambert-Loir; Johannes Nicaise; Julien Se Название: Motivic Integration ISBN: 1493993151 ISBN-13(EAN): 9781493993154 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration.
Автор: Haesemeyer Christian, Weibel Charles A. Название: The Norm Residue Theorem in Motivic Cohomology ISBN: 0691181829 ISBN-13(EAN): 9780691181820 Издательство: Wiley Рейтинг: Цена: 172130.00 T Наличие на складе: Невозможна поставка. Описание:
This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of tale cohomology and its relation to motivic cohomology and Chow groups.
Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduce the key figures behind its development. They proceed to describe the highly innovative geometric constructions of Markus Rost, including the construction of norm varieties, which play a crucial role in the proof. The book then addresses symmetric powers of motives and motivic cohomology operations.
Comprehensive and self-contained, The Norm Residue Theorem in Motivic Cohomology unites various components of the proof that until now were scattered across many sources of varying accessibility, often with differing hypotheses, definitions, and language.
Автор: Chambert-Loir Название: Motivic Integration ISBN: 1493978853 ISBN-13(EAN): 9781493978854 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first discusses the main features of the Grothendieck ring of varieties, arc schemes, and Greenberg schemes. It then moves on to motivic integration and its applications to birational geometry and non-Archimedean geometry. Also included in the work is a prologue on p-adic analytic manifolds, which served as a model for motivic integration.
With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration. It will also serve as a motivation for more recent and sophisticated theories that have been developed since.
Автор: Bergner, Julia E. (university Of Virginia) Название: The Homotopy theory of (?,1)-categories ISBN: 110749902X ISBN-13(EAN): 9781107499027 Издательство: Cambridge Academ Рейтинг: Цена: 40130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Homotopical or ( ,1)-categories have become a significant framework in many areas of mathematics. This book gives an introduction to the different approaches to these structures and the comparisons between them from the perspective of homotopy theory.
Название: Handbook of homotopy theory ISBN: 0815369700 ISBN-13(EAN): 9780815369707 Издательство: Taylor&Francis Рейтинг: Цена: 275610.00 T Наличие на складе: Невозможна поставка. Описание: The Handbook of Homotopy established the state-of-the-art research on this emerging topic in topology. The list of topics and contributors is impressive. The topics cover a broad swath, and the contributors will do an outstanding job. Students particularly will findthis book to be an entree to an active field of study.
Автор: Darby Alastair, Grbic Jelena, Lu Zhi, Wu Jie Название: Combinatorial And Toric Homotopy: Introductory Lectures ISBN: 9813226560 ISBN-13(EAN): 9789813226562 Издательство: World Scientific Publishing Рейтинг: Цена: 156290.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning.
The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis-Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics.
The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students.
Автор: Benoit Fresse Название: Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2: The Applications of (Rational) Homotopy Theory Methods ISBN: 1470434822 ISBN-13(EAN): 9781470434823 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 107850.00 T Наличие на складе: Невозможна поставка. Описание: The ultimate goal of this book is to explain that the Grothendieck-Teichmuller group, as defined by Drinfeld in quantum group theory, has a topological interpretation as a group of homotopy automorphisms associated to the little 2-disc operad. To establish this result, the applications of methods of algebraic topology to operads must be developed. This volume is devoted primarily to this subject, with the main objective of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and of general methods of homotopy theory. The definition of the Sullivan model for the rational homotopy of spaces is revisited, and the definition of models for the rational homotopy of operads is then explained. The applications of spectral sequence methods to compute homotopy automorphism spaces associated to operads are also explained. This approach is used to get a topological interpretation of the Grothendieck-Teichmuller group in the case of the little 2-disc operad. This volume is intended for graduate students and researchers interested in the applications of homotopy theory methods in operad theory. It is accessible to readers with a minimal background in classical algebraic topology and operad theory.
Автор: Haesemeyer Christian, Weibel Charles A. Название: The Norm Residue Theorem in Motivic Cohomology ISBN: 0691191042 ISBN-13(EAN): 9780691191041 Издательство: Wiley Рейтинг: Цена: 79200.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of tale cohomology and its relation to motivic cohomology and Chow groups.
Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduce the key figures behind its development. They proceed to describe the highly innovative geometric constructions of Markus Rost, including the construction of norm varieties, which play a crucial role in the proof. The book then addresses symmetric powers of motives and motivic cohomology operations.
Comprehensive and self-contained, The Norm Residue Theorem in Motivic Cohomology unites various components of the proof that until now were scattered across many sources of varying accessibility, often with differing hypotheses, definitions, and language.
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