Bousfield Classes and Ohkawa`s Theorem: Nagoya, Japan, August 28-30, 2015, Ohsawa Takeo, Minami Norihiko
Автор: Patrascu Название: The Universal Coefficient Theorem and Quantum Field Theory ISBN: 3319461427 ISBN-13(EAN): 9783319461427 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of non-perturbative physics—one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the ER-EPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics.
Автор: Gallier Jean Название: Guide to the Classification Theorem for Compact Surfaces ISBN: 3642343635 ISBN-13(EAN): 9783642343636 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a detailed proof of the classification theorem for compact surfaces. It presents the technical tools needed to deploy the method effectively as well as demonstrates their use in a clearly structured, worked example.
Автор: Wen-ts?n Wu; X. Jin; D. Wang Название: Mechanical Theorem Proving in Geometries ISBN: 3211825061 ISBN-13(EAN): 9783211825068 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: " Dur- ing the time of the ancient Greeks, there were two different methods dealing with geometry: one, represented by the Euclid`s "Elements," purely pursued the logical relations among geometric entities, excluding completely the quantita- tive relations, as to establish the axiom system of geometry.
Автор: Jean Gallier; Dianna Xu Название: A Guide to the Classification Theorem for Compact Surfaces ISBN: 3642437109 ISBN-13(EAN): 9783642437106 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a detailed proof of the classification theorem for compact surfaces. It presents the technical tools needed to deploy the method effectively as well as demonstrates their use in a clearly structured, worked example.
