Conceptual progress in fundamental theoretical physics is linked with the search for the suitable mathematical structures that model the physical systems. Quantum field theory (QFT) has proven to be a rich source of ideas for mathematics for a long time. However, fundamental questions such as ``What is a QFT?'' did not have satisfactory mathematical answers, especially on spaces with arbitrary topology, fundamental for the formulation of perturbative string theory. This book contains a collection of papers highlighting the mathematical foundations of QFT and its relevance to perturbative string theory as well as the deep techniques that have been emerging in the last few years. The papers are organized under three main chapters: Foundations for Quantum Field Theory, Quantization of Field Theories, and Two-Dimensional Quantum Field Theories. An introduction, written by the editors, provides an overview of the main underlying themes that bind together the papers in the volume.
This book presents a novel development of fundamental and fascinating aspects of algebraic topology and mathematical physics: 'extra-ordinary' and further generalized cohomology theories enhanced to 'twisted' and differential-geometric form, with focus on, firstly, their rational approximation by generalized Chern character maps, and then, the resulting charge quantization laws in higher n-form gauge field theories appearing in string theory and the classification of topological quantum materials.Although crucial for understanding famously elusive effects in strongly interacting physics, the relevant higher non-abelian cohomology theory ('higher gerbes') has had an esoteric reputation and remains underdeveloped.Devoted to this end, this book's theme is that various generalized cohomology theories are best viewed through their classifying spaces (or moduli stacks) — not necessarily infinite-loop spaces — from which perspective the character map is really an incarnation of the fundamental theorem of rational homotopy theory, thereby not only uniformly subsuming the classical Chern character and a multitude of scattered variants that have been proposed, but now seamlessly applicable in the hitherto elusive generality of (twisted, differential, and) non-abelian cohomology.In laying out this result with plenty of examples, this book provides a modernized introduction and review of fundamental classical topics: 1. abstract homotopy theory via model categories; 2. generalized cohomology in its homotopical incarnation; 3. rational homotopy theory seen via homotopy Lie theory, whose fundamental theorem we recast as a (twisted) non-abelian de Rham theorem, which naturally induces the (twisted) non-abelian character map.
This book presents a novel development of fundamental and fascinating aspects of algebraic topology and mathematical physics: 'extra-ordinary' and further generalized cohomology theories enhanced to 'twisted' and differential-geometric form, with focus on, firstly, their rational approximation by generalized Chern character maps, and then, the resulting charge quantization laws in higher n-form gauge field theories appearing in string theory and the classification of topological quantum materials.Although crucial for understanding famously elusive effects in strongly interacting physics, the relevant higher non-abelian cohomology theory ('higher gerbes') has had an esoteric reputation and remains underdeveloped.Devoted to this end, this book's theme is that various generalized cohomology theories are best viewed through their classifying spaces (or moduli stacks) — not necessarily infinite-loop spaces — from which perspective the character map is really an incarnation of the fundamental theorem of rational homotopy theory, thereby not only uniformly subsuming the classical Chern character and a multitude of scattered variants that have been proposed, but now seamlessly applicable in the hitherto elusive generality of (twisted, differential, and) non-abelian cohomology.In laying out this result with plenty of examples, this book provides a modernized introduction and review of fundamental classical topics: 1. abstract homotopy theory via model categories; 2. generalized cohomology in its homotopical incarnation; 3. rational homotopy theory seen via homotopy Lie theory, whose fundamental theorem we recast as a (twisted) non-abelian de Rham theorem, which naturally induces the (twisted) non-abelian character map.
The Zurich polymath Conrad Gessner (1516–1565) is known as the founder of zoology and plant geography, the father of bibliography, editor of ancient texts, and author of one of the most important paleontological works of the sixteenth century. While preparing his extensive work on plants, he died unexpectedly and early from the plague. Gessner's interest in the natural sciences was rooted, on the one hand, in the new conception of nature that emerged with the Renaissance, and, on the other hand, in the creation theology of the Reformation, which considered nature as a second book of God's revelation next to the Bible. This richly illustrated and erudite biography is the first biography of Gessner to appear in English. This biography is a translation of Conrad Gessner (1516-1565): Universalgelehrter und Naturforscher der Renaissance (Basel: NZZ Libro, 2016).
Human Blood Plasma Proteins gives an overview of the proteins found in human blood plasma, with special emphasis on their structure and function and relationship to pathological states and disease. Topics covered include: introduction to blood components and blood plasma proteins blood plasma protein domains, motifs and repeats blood plasma protein families and posttranslational modifications blood coagulation and fibrinolysis the complement system the immune system enzymes inhibitors lipoproteins hormones cytokines and growth factors transport and storage The information of each protein discussed in this book in some detail is summarised at the end of each chapter in a Data Sheet, where one can find the most important data of each protein at one glance. Full cross-referencing to protein databases is given and many of the proteins discussed are accompanied by their 3D structure. Attractively presented in full colour, Human Blood Plasma Proteins is an essential atlas of this proteome for anyone working in biochemistry, protein chemistry and proteomics, structural biology, and medicine.
The Swiss physician and polymath Conrad Gessner (1516-1565) was one of the most prominent scientists of the early modern period and wrote numerous important works. During the last two decades were discovered nearly 400 titles from his private library. They give an interesting insight into his interests and his sources. The present book contains not only an introduction and a catalogue of these books, but also inventories of the lost works as well as the still extant and lost manuscripts possessed by Gessner. They open the door to Gessner's study and to the intellectual world of a fascinating Renaissance scholar.
A modern Zen classic--reissued with new material: An introduction to the great tenth-century Chinese master, with translations of his key works. Yunmen Wenyan (c. 864–949) was a master of the Chinese Zen (Chan) tradition and one of the most influential teachers in its history, showing up in many famous koans—in one of which he’s credited with the famous line, “Every day is a good day.” His teachings are said to permeate heaven and earth, to address immediately and totally the state and conditions of his audience, and to cut off even the slightest trace of duality. In this classic study of Master Yunmen, historian and Buddhist scholar Urs App clearly elucidates the encompassing and penetrating nature of Yunmen’s teachings, provides pioneering translations of his numerous talks and dialogues, and includes a brief history of Chinese Zen, a biography of the master, and a wealth of resource materials.
Based on the bestselling book, Rivers of North America, this new guide stands as the only primary source of complete and comparative baseline data on the biological and hydrological characteristics of more than 180 of the highest profile rivers in Europe. With numerous full-color photographs and maps, Rivers of Europe includes conservation information on current patterns of river use and the extent to which human society has exploited and impacted them. Rivers of Europe provides the information ecologists and conservation managers need to better assess their management and meet the EU legislative good governance targets. Coverage on more than 180 European rivers Summarizes biological, ecological and biodiversity characteristics Provides conservation managers with information to resolve conflicts between recreational use of rivers, their use as a water supply, and the need to conserve natural habitats Data on river hydrology (maximum , minimum and average flow rates), seasonal variation in water flow Numerous full-color photographs Information on the underlying geology and its affect on river behaviour
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.