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Ascites, Hyponatremia, and Hepatorenal Syndrome
At the cutting edge of pathomechanisms and treatment strategies Ascites is the most frequent and hepatorenal syndrome the most lethal complication in liver cirrhosis. In recent years, major progress has been made regarding effective treatment of these complications, thus reducing mortality in patients. This publication highlights and critically appraises recent achievements and novel advances, and at the same time provides the background needed to grasp novel concepts. Topics treated include complications of paracentesis, the right choice of plasma expanders, and selection of patients who will experience survival benefit from transjugular intrahepatic portosystemic shunt. Hepatorenal syndrom...
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
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.
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...
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.
Differential Characters
Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the product structure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics.
