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Basic Bundle Theory and K-Cohomology Invariants
Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. It aims to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, comes from quantum field theory, where topological invariants play an important role.
Torus Fibrations, Gerbes, and Duality
Let $X$ be a smooth elliptic fibration over a smooth base $B$. Under mild assumptions, the authors establish a Fourier-Mukai equivalence between the derived categories of two objects, each of which is an $\mathcal{O} DEGREES{\times}$ gerbe over a genus one fibration which is a twisted form
Towards Higher Categories
The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory ex...
Messengers from the Cosmos
This book provides a complete overview of the development of cosmic ray physics, with historical and educational considerations, from early evidence of the existence of extraterrestrial radiation up to the most recent applications of cosmic ray muons in different aspects of daily life. Many of the original results that contributed to the study of cosmic radiation are presented and discussed, accompanied by bibliographic references, numerous in-depth appendices, about 200 illustrations and a large chapter dedicated to the overall impact of cosmic rays. The book includes sections on, among other topics: the debate on the corpuscular or radiative nature of cosmic radiation; the development of e...
Signaling Pathways in Liver Diseases
Signaling Pathways in Liver Diseases, 2nd edition focuses on signaling pathways which are particularly important in liver diseases. Recent progress brought hepatology to new frontiers. The increasing frequency of surgery on steatotic and cirrhotic liver obliges liver surgeons and hepatologists to understand the molecular mechanisms at play in these situations and how they can be influenced. Better comprehension of the cellular mechanisms participating in liver regeneration, hepato-cellular apoptosis and ischemia/reperfusion inquiry is mirrored by a dramatic increase in complexity. The number and scope of publications is intimidating and difficult for busy individuals to extract a coherent framework. This book will serve as a source of information facilitating the reading of the literature and the planning of trials. Translational medicine implies knowledge of the molecular targets for novel therapeutic strategies. It will furthermore stimulate more research and lead to better exchange between the laboratory, the clinical ward and the operation room.
Orbifolds in Mathematics and Physics
This book publishes papers originally presented at a conference on the Mathematical Aspects of Orbifold String Theory, hosted by the University of Wisconsin-Madison. It contains a great deal of information not fully covered in the published literature and showcases the current state of the art in orbital string theory. The subject of orbifolds has a long prehistory, going back to the work of Thurston and Haefliger, with roots in the theory of manifolds, group actions, and foliations. The recent explosion of activity on the topic has been powered by applications of orbifolds to moduli problems and quantum field theory. The present volume presents an interdisciplinary look at orbifold problems...
Ascites and Renal Dysfunction in Liver Disease
There has been very little written on the interaction of the liverand kidney. This book addresses the increasing incidence andsignificance of diseases, such as ascites, renal dysfunction,cirrhosis and hypertension where both organs are involved. This textbook is essential, even for confirmed practitioners andcontains current information regarding treatment and therapy forpatients with cirrhosis and ascites, clearly and effectivelypresented by the top international experts within this field. The second edition is entirely revised and updated and placesgreater emphasis on therapy.
Purine Metabolism in Man, III
These volumes contain the papers which were presented at the Third International Symposium on Purine Metabolism in Man held in Madrid (Spain) in June, 1979. The previous meetings in the series were held in Tel Aviv (Israel) and in Baden (Austria) in 1973 and 1976, respectively. The proceedings were also published by Plenum. Knowledge of the pathophysiology of the purines has developed greatly since the 1950's when it was mainly related to clinical gout, and it is now relevant to many fields of Medicine and Biology. These volumes include papers reporting new work on clinical gout and urolithiasis as well as on some of the subjects which have featured prominently in the previous volumes, inclu...
Enumerative Invariants in Algebraic Geometry and String Theory
Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.
Developments and Trends in Infinite-Dimensional Lie Theory
This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups. Contributors: B. Allison, D. Beltiţă, W. Bertram, J. Faulkner, Ph. Gille, H. Glöckner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova, K. Styrkas, K. Waldorf, and J.A. Wolf.
