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Author: Daniel C. Isaksen Publisher: American Mathematical Soc. ISBN: 1470437880 Category : Education Languages : en Pages : 174
Book Description
The author presents a detailed analysis of 2-complete stable homotopy groups, both in the classical context and in the motivic context over C. He uses the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algebra over C through the 70-stem. He then uses the motivic Adams spectral sequence to obtain motivic stable homotopy groups through the 59-stem. He also describes the complete calculation to the 65-stem, but defers the proofs in this range to forthcoming publications. In addition to finding all Adams differentials, the author also resolves all hidden extensions by 2, η, and ν through the 59-stem, except for a few carefully enumerated exceptions that remain unknown. The analogous classical stable homotopy groups are easy consequences. The author also computes the motivic stable homotopy groups of the cofiber of the motivic element τ. This computation is essential for resolving hidden extensions in the Adams spectral sequence. He shows that the homotopy groups of the cofiber of τ are the same as the E2-page of the classical Adams-Novikov spectral sequence. This allows him to compute the classical Adams-Novikov spectral sequence, including differentials and hidden extensions, in a larger range than was previously known.
Author: Daniel C. Isaksen Publisher: American Mathematical Soc. ISBN: 1470437880 Category : Education Languages : en Pages : 174
Book Description
The author presents a detailed analysis of 2-complete stable homotopy groups, both in the classical context and in the motivic context over C. He uses the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algebra over C through the 70-stem. He then uses the motivic Adams spectral sequence to obtain motivic stable homotopy groups through the 59-stem. He also describes the complete calculation to the 65-stem, but defers the proofs in this range to forthcoming publications. In addition to finding all Adams differentials, the author also resolves all hidden extensions by 2, η, and ν through the 59-stem, except for a few carefully enumerated exceptions that remain unknown. The analogous classical stable homotopy groups are easy consequences. The author also computes the motivic stable homotopy groups of the cofiber of the motivic element τ. This computation is essential for resolving hidden extensions in the Adams spectral sequence. He shows that the homotopy groups of the cofiber of τ are the same as the E2-page of the classical Adams-Novikov spectral sequence. This allows him to compute the classical Adams-Novikov spectral sequence, including differentials and hidden extensions, in a larger range than was previously known.
Author: Douglas C. Ravenel Publisher: American Mathematical Soc. ISBN: 082182967X Category : Mathematics Languages : en Pages : 418
Book Description
Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject.
Author: Philipp Bücher Publisher: Springer ISBN: 3540395849 Category : Computers Languages : en Pages : 412
Book Description
Here are the refereed proceedings of the 6th International Workshop on Algorithms in Bioinformatics, WABI 2006, held in the course of the ALGO 2006 conference meetings. The book presents 36 revised full papers addressing all current issues of algorithms in bioinformatics, from mathematical tools to experimental studies of approximation algorithms and reports on significant computational analyses. For the first time, coverage extends to machine-learning approaches along with combinatorial optimization.
Author: Raffaele Giancarlo Publisher: Springer Science & Business Media ISBN: 3540741259 Category : Computers Languages : en Pages : 443
Book Description
The refereed proceedings from the 7th International Workshop on Algorithms in Bioinformatics are provided in this volume. Papers address current issues in algorithms in bioinformatics, ranging from mathematical tools to experimental studies of approximation algorithms to significant computational analyses. Biological problems examined include genetic mapping, sequence alignment and analysis, phylogeny, comparative genomics, and protein structure.
Author: Stanley O. Kochman Publisher: American Mathematical Soc. ISBN: 9780821806005 Category : Mathematics Languages : en Pages : 294
Book Description
This book is a compilation of lecture notes that were prepared for the graduate course ``Adams Spectral Sequences and Stable Homotopy Theory'' given at The Fields Institute during the fall of 1995. The aim of this volume is to prepare students with a knowledge of elementary algebraic topology to study recent developments in stable homotopy theory, such as the nilpotence and periodicity theorems. Suitable as a text for an intermediate course in algebraic topology, this book provides a direct exposition of the basic concepts of bordism, characteristic classes, Adams spectral sequences, Brown-Peterson spectra and the computation of stable stems. The key ideas are presented in complete detail without becoming encyclopedic. The approach to characteristic classes and some of the methods for computing stable stems have not been published previously. All results are proved in complete detail. Only elementary facts from algebraic topology and homological algebra are assumed. Each chapter concludes with a guide for further study.
Author: Fumihiko Seta Publisher: Springer ISBN: 9811021384 Category : Science Languages : en Pages : 290
Book Description
This book is a comprehensive document visualizing the future of built environment from a multidisciplinary dimension, with special emphasis on the Indian scenario. The multidisciplinary focus would be helpful for the readers to cross-refer and understand others' perspectives. The text also includes case studies substantiating theoretical research. This method of composition helps the book to maintain rational balance among theory, research and its contextual application. The book comprises selected papers from the National Conference on Sustainable Built Environment. The chapters provide varied viewpoints on the core issues of urbanization and planning. This compilation would be of interest to students, researchers, professionals and policy makers.
Author: Pierre Le Béguec Publisher: Springer ISBN: 3319036149 Category : Medical Languages : en Pages : 138
Book Description
Choosing an uncemented femoral prosthesis means first choosing a concept and to be effective, an operator has to have access to all the information that will allow them to reach the desired goals. This is the first step to be made. The quality of a surgical procedure does not depend on the manual skills of the surgeon performing it, but on how he has prepared and performed the operation “virtually” before actually performing it. This is the second step. An operating technique must be adapted to the chosen concept and the purpose of every surgical procedure must be clearly formulated and understood by the operator. This is the third step. Every surgeon has to have a reliable and rigorous radiological method of analysis for evaluating overall results and which suggests ways of improving results.
Author: Hideaki E. Takahashi Publisher: Springer Science & Business Media ISBN: 4431658920 Category : Medical Languages : en Pages : 314
Book Description
Bones and joints are always under mechanical loading a key concept in understanding bone metabolism. Among the most common diseases of bones and joints in the elderly are osteoporosis and joint osteoarthritis. Dynamic changes in mechanical loading give rise to problems resulting in stenosis of the spinal column at the cervical, thoracic, and lumbar levels. Mechanical loading also accelerates joint destruction caused by inflammation from such conditions as chronic rheumatoid arthritis. An understanding of mechanical loading is essential therefore to clinicians, basic researchers, and engineers working with bones and joints. Providing up-to-date research and clinical findings, the contents of this volume are from the papers, symposia, and special lectures presented at the 12th Annual Meeting of the Orthopaedic Research Meeting of the Japanese Orthopaedic Association in Niigata, in October 1997.
Author: Jean-Pierre Vidalain Publisher: Springer Science & Business Media ISBN: 3642183964 Category : Medical Languages : en Pages : 357
Book Description
The Corail® Hip System was developed in 1986 as an innovative solution for hip arthroplasty and has since become one of the most used hip systems in the world. This book is designed as a practical manual to primary and revision arthroplasty that will serve both as a reference for surgeons in training and as a source of information, tips and tricks for the more experienced who wish to learn from the cases of other surgeons. The book is divided into three main parts. The first discusses everything that is practical about the system, including the surgical technique, treatment of complications, and the results achieved in large cohorts of patients. The second part is devoted to the important issues of surgical approach, bearing options, acetabular preparation and, cup orientation and fixation. The final part focuses on patient management and includes a collection of standard and complex clinical cases to which surgeons can refer when planning surgery.
Author: Fa Zhang Publisher: Springer ISBN: 3319949683 Category : Computers Languages : en Pages : 373
Book Description
This book constitutes the proceedings of the 14th International Conference on Bioinformatics Research and Applications, ISBRA 2018, held in Beijing, China, in June 2018. The 24 full and 10 short papers presented in this volume were carefully reviewed and selected from a total of 138 submissions. They were organized in topical sections named: network analysis and modelling; genomic data analysis; cancer data analysis; structure and interaction; HPC and CryoEM; machine and deep learning; data analysis and methodology; analysis and visualization tools; and RNA-Seq data analysis.
Author: Daniel C. Isaksen
Author: Daniel C. Isaksen
Author: Douglas C. Ravenel
Author: Philipp Bücher
Author: Raffaele Giancarlo
Author: Stanley O. Kochman
Author: Fumihiko Seta
Author: Pierre Le Béguec
Author: Hideaki E. Takahashi
Author: Jean-Pierre Vidalain
Author: Fa Zhang