Stable Stems
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Stable Stems
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Author : Daniel C. Isaksen
language : en
Publisher:
Release Date : 2019
Stable Stems written by Daniel C. Isaksen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Algebraic topology categories.
We present a detailed analysis of 2-complete stable homotopy groups, both in the classical context and in the motivic context over C. We use the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algebra over C through the 70-stem. We then use the motivic Adams spectral sequence to obtain motivic stable homotopy groups through the 59-stem. In addition to finding all Adams differentials in this range, we also resolve all hidden extensions by 2, eta, and nu, except for a few carefully enumerated exceptions that remain unknown. The analogous classical stable homotopy groups are easy consequences. We also compute the motivic stable homotopy groups of the cofiber of the motivic element tau. This computation is essential for resolving hidden extensions in the Adams spectral sequence. We show that the homotopy groups of the cofiber of tau are the same as the E2-page of the classical Adams-Novikov spectral sequence. This allows us to compute the classical Adams-Novikov spectral sequence, including differentials and hidden extensions, in a larger range than was previously known.
Stable Stems
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Author : Daniel C. Isaksen
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-02-13
Stable Stems written by Daniel C. Isaksen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-13 with Education categories.
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.
Symplectic Cobordism And The Computation Of Stable Stems
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Author : Stanley O. Kochman
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
Symplectic Cobordism And The Computation Of Stable Stems written by Stanley O. Kochman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Adams spectral sequences categories.
This memoir consists of two independent papers. In the first, "The symplectic cobordism ring III" the classical Adams spectral sequence is used to study the symplectic cobordism ring [capital Greek]Omega[superscript]* [over] [subscript italic capital]S[subscript italic]p. In the second, "The symplectic Adams Novikov spectral sequence for spheres" we analyze the symplectic Adams-Novikov spectral sequence converging to the stable homotopy groups of spheres.
Stable Homotopy Groups Of Spheres
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Author : Stanley O. Kochman
language : en
Publisher: Springer
Release Date : 2006-11-14
Stable Homotopy Groups Of Spheres written by Stanley O. Kochman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
A central problem in algebraic topology is the calculation of the values of the stable homotopy groups of spheres +*S. In this book, a new method for this is developed based upon the analysis of the Atiyah-Hirzebruch spectral sequence. After the tools for this analysis are developed, these methods are applied to compute inductively the first 64 stable stems, a substantial improvement over the previously known 45. Much of this computation is algorithmic and is done by computer. As an application, an element of degree 62 of Kervaire invariant one is shown to have order two. This book will be useful to algebraic topologists and graduate students with a knowledge of basic homotopy theory and Brown-Peterson homology; for its methods, as a reference on the structure of the first 64 stable stems and for the tables depicting the behavior of the Atiyah-Hirzebruch and classical Adams spectral sequences through degree 64.
Uncemented Femoral Stems For Revision Surgery
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Author : Pierre Le Béguec
language : en
Publisher: Springer
Release Date : 2015-03-06
Uncemented Femoral Stems For Revision Surgery written by Pierre Le Béguec and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-06 with Medical categories.
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.
Bordism Stable Homotopy And Adams Spectral Sequences
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Author : Stanley O. Kochman
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Bordism Stable Homotopy And Adams Spectral Sequences written by Stanley O. Kochman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
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.
The Structure Of Russian In Outline
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Author : Charles Bidwell
language : en
Publisher: University of Pittsburgh Pre
Release Date : 1970-01-15
The Structure Of Russian In Outline written by Charles Bidwell and has been published by University of Pittsburgh Pre this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970-01-15 with Language Arts & Disciplines categories.
A brief, structurally oriented reference grammar of Russian for use by advanced students, Slavicists, and linguists, Bidwell's guide can also be used as a text for courses on the linguistic structure and grammar of the Russian language. Bidwell offers an original phonemic analysis and, breaking with traditional grammars, treats the language as primarily and basically a spoken phenomenon with the grammatical description based solidly on the spoken forms. Divided into three sections, focusing on the phonemics, morphology, and syntax, The Structure of Russian in Outline aims to give a coherent and concise account of the sounds, forms, and constructions of the Russian language, treating the whole as an integrated system structured on hierarchical levels.
Revision Total Hip And Knee Arthroplasty
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Author : Daniel J. Berry
language : en
Publisher: Lippincott Williams & Wilkins
Release Date : 2012-08-28
Revision Total Hip And Knee Arthroplasty written by Daniel J. Berry and has been published by Lippincott Williams & Wilkins this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-28 with Medical categories.
This multi-contributed, comprehensive book covers revision surgery for total hip and knee arthroplasty. The focus of Revision Total Hip and Knee Arthroplasty will be on the techniques of revision surgery. Separated into a hip section and a knee section, each will include evaluation of the failed replacement, revision surgery, surgical technique, revision for specific diagnosis, complications, and postoperative management"--Provided by publisher.
The Plant Stem
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Author : Fritz H. Schweingruber
language : en
Publisher: Springer
Release Date : 2018-06-13
The Plant Stem written by Fritz H. Schweingruber and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-13 with Science categories.
This unique and attractive open access textbook combines the beauty of macroscopic pictures of plant stems with the corresponding colorfully stained images of anatomical micro-structures. In contrast to most botanical textbooks, it presents all the stem characteristics as photographs and shows the microscopic reality. The amount of text is reduced to a minimum, and the scientific information is highlighted with short legends and labeled photographs, allowing readers to focus on the pictures to easily understand how the anatomical structures relate to genetic, ecological, decomposition and technical influences. It includes a chapter devoted to simple anatomical preparation techniques, and further chapters showing the cell content, cell walls, meristematic tissues and stem structures of all major taxonomic units and morphological growth forms in various ecological and climatic regions from subarctic to equatorial latitudes, as well as structures of fossil, subfossil and technically altered wood. This textbook appeals to students and researchers in the fields of plant anatomy, taxonomy, ecology, dendrochronology, history, plant pathology, and evolutionary biology as well as to technologists.
The Novikov Conjecture
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Author : Matthias Kreck
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-05
The Novikov Conjecture written by Matthias Kreck and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-05 with Mathematics categories.
These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented. Using the solution of the Novikov conjecture for special groups some applications to the classification of low dimensional manifolds are given.