Spectral Tower

Author : Mark Behrens
Publisher : American Mathematical Soc.
ISBN 13 : 0821869027
Total Pages : 109 pages
Book Rating : 4.24/5 ( download)

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Download or read book The Goodwillie Tower and the EHP Sequence written by Mark Behrens and published by American Mathematical Soc.. This book was released on 2012 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies the interaction between the EHP sequence and the Goodwillie tower of the identity evaluated at spheres at the prime $2$. Both give rise to spectral sequences (the EHP spectral sequence and the Goodwillie spectral sequence, respectively) which compute the unstable homotopy groups of spheres. He relates the Goodwillie filtration to the $P$ map, and the Goodwillie differentials to the $H$ map. Furthermore, he studies an iterated Atiyah-Hirzebruch spectral sequence approach to the homotopy of the layers of the Goodwillie tower of the identity on spheres. He shows that differentials in these spectral sequences give rise to differentials in the EHP spectral sequence. He uses his theory to recompute the $2$-primary unstable stems through the Toda range (up to the $19$-stem). He also studies the homological behavior of the interaction between the EHP sequence and the Goodwillie tower of the identity. This homological analysis involves the introduction of Dyer-Lashof-like operations associated to M. Ching's operad structure on the derivatives of the identity. These operations act on the mod $2$ stable homology of the Goodwillie layers of any functor from spaces to spaces.

Author : Robert R. Bruner
Publisher : American Mathematical Soc.
ISBN 13 : 1470456745
Total Pages : 690 pages
Book Rating : 4.40/5 ( download)

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Download or read book The Adams Spectral Sequence for Topological Modular Forms written by Robert R. Bruner and published by American Mathematical Soc.. This book was released on 2021-09-30 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: The connective topological modular forms spectrum, tmf, is in a sense initial among elliptic spectra, and as such is an important link between the homotopy groups of spheres and modular forms. A primary goal of this volume is to give a complete account, with full proofs, of the homotopy of tmf and several tmf-module spectra by means of the classical Adams spectral sequence, thus verifying, correcting, and extending existing approaches. In the process, folklore results are made precise and generalized. Anderson and Brown-Comenetz duality, and the corresponding dualities in homotopy groups, are carefully proved. The volume also includes an account of the homotopy groups of spheres through degree 44, with complete proofs, except that the Adams conjecture is used without proof. Also presented are modern stable proofs of classical results which are hard to extract from the literature. Tools used in this book include a multiplicative spectral sequence generalizing a construction of Davis and Mahowald, and computer software which computes the cohomology of modules over the Steenrod algebra and products therein. Techniques from commutative algebra are used to make the calculation precise and finite. The H∞ ring structure of the sphere and of tmf are used to determine many differentials and relations.

Author : Catherine Asaro
Publisher : Open Road Media
ISBN 13 : 1504079574
Total Pages : 496 pages
Book Rating : 4.70/5 ( download)

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Download or read book The Last Hawk written by Catherine Asaro and published by Open Road Media. This book was released on 2022-09-27 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Powerful characterization and intriguing scientific concepts . . . an elegant subtlety and a far-reaching sense of destiny that carries [Asaro] to the highest rank of master storyteller.” —Romantic Times Reeling from a battle, pilot Kelric Valdoria crash-lands his Jag starfighter on Coba, the closest safe planet he can find after a Trader squad cripples his ship. Although the military of Kelric’s people have given Coba Restricted status, Kelric sees no reason for such draconian measures to isolate the seemingly benign world. While recovering, the dashing Kelric becomes the target of affection for high-powered women in Coba’s matriarchal society, including Deha Dahl, an Estate Manager, and young Ixpar Karn, the chosen successor of the Minister. Distracted by their flirtations, Kelric doesn’t at first realize the Restricted status of the planet was their own choice—and that they can’t risk letting him go. However, Kelric’s internal biomech system is failing, causing his brain to malfunction. His only hope is to escape. But when his attempt fails, ending in the death of a guard, he must face a trial that could mean his execution, unless he can win the trust of the people who both covet and fear him . . . “Well-written, entertaining, classic science fiction fun.” —The Plain Dealer “Impossible to put down.” —L. E. Modesitt, Jr., New York Times–bestselling author “A smoothly absorbing space opera that mixes high-tech gimmickry with galactic politics and plenty of romance.” —Publishers Weekly

Author : Remy James Kirkham
Publisher : Createspace Independent Pub
ISBN 13 : 9781494283988
Total Pages : 320 pages
Book Rating : 4.80/5 ( download)

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Download or read book Spectral Tower written by Remy James Kirkham and published by Createspace Independent Pub. This book was released on 2013-11-25 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This story's a blend of realism, fantasy and mystery. Stanley Reader, a young war veteran, suffers from amnesia and hallucinations. The cause is due to psychological trauma and injuries he sustained during a bombing in Afghanistan. Back home he awakens from a terrible dream: His former girlfriend, Thel, is trapped on a lifeguard tower engulfed in flames. He hasn't seen her in more than a year. What he last remembers is being with her at the very same lifeguard tower he dreamt about. There he proposed to her. But she turned him down. An argument followed. And by the next morning, she was gone. That's all Stanley can remember. But his dream does compel him to find out where she now is. Thus his search places him on a pathway filled with ominous and surreal settings. During his one night odyssey, Stanley encounters familiar faces and odd strangers: His former professor, who has a fetish for French films; the professor's daughter, who's preternaturally introspective and well-versed in the paranormal; a deranged lion trainer fed up with the circus; two conjurers who've mastered the old ways of magic; a ghost from the war who tries to help Stanley survive the night; two malevolent thugs with a grudge against him. There's also a lion on the loose. And startling moments do arise when Stanley thinks of seeing Thel float like an apparition through the streets. Stanley returns to old haunts ranging from a coffee shop, a dive bar to a café. There's a car-chase, murder and magic. Eventually, he'll find himself at that one lifeguard tower from his dream.There a strange, forgotten memory will emerge central to Thel's ultimate fate. It involves a mysterious painting. And it will place Stanley between the ideal importance of joy and profound elements of madness!

Author : Martin C. Tangora
Publisher : American Mathematical Soc.
ISBN 13 : 0821851624
Total Pages : 504 pages
Book Rating : 4.23/5 ( download)

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Download or read book Algebraic Topology: Oaxtepec 1991 written by Martin C. Tangora and published by American Mathematical Soc.. This book was released on 1993 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of twenty-nine articles contributed by participants of the International Conference in Algebraic Topology held in July 1991 in Mexico. In addition to papers on current research, there are several surveys and expositions on the work of Mark Mahowald, whose sixtieth birthday was celebrated during the conference. The conference was truly international, with over 130 mathematicians from fifteen countries. It ended with a spectacular total eclipse of the sun, a photograph of which appears as the frontispiece. The papers range over much of algebraic topology and cross over into related areas, such as K theory, representation theory, and Lie groups. Also included is a chart of the Adams spectral sequence and a bibliography of Mahowald's publications.

Author :
Publisher : PediaPress
ISBN 13 :
Total Pages : 749 pages
Book Rating : 4./5 ( download)

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Download or read book Playstation 3 written by and published by PediaPress. This book was released on with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Arthur N. L. Chiu
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.00/5 ( download)

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Download or read book Wind Loads on Structures written by Arthur N. L. Chiu and published by . This book was released on 1970 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Christopher L. Douglas
Publisher : American Mathematical Soc.
ISBN 13 : 1470418843
Total Pages : 353 pages
Book Rating : 4.47/5 ( download)

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Download or read book Topological Modular Forms written by Christopher L. Douglas and published by American Mathematical Soc.. This book was released on 2014-12-04 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of this theory combines an algebro-geometric perspective on elliptic curves over finite fields with techniques from algebraic topology, particularly stable homotopy theory. It has applications to and connections with manifold topology, number theory, and string theory. This book provides a careful, accessible introduction to topological modular forms. After a brief history and an extended overview of the subject, the book proper commences with an exposition of classical aspects of elliptic cohomology, including background material on elliptic curves and modular forms, a description of the moduli stack of elliptic curves, an explanation of the exact functor theorem for constructing cohomology theories, and an exploration of sheaves in stable homotopy theory. There follows a treatment of more specialized topics, including localization of spectra, the deformation theory of formal groups, and Goerss-Hopkins obstruction theory for multiplicative structures on spectra. The book then proceeds to more advanced material, including discussions of the string orientation, the sheaf of spectra on the moduli stack of elliptic curves, the homotopy of topological modular forms, and an extensive account of the construction of the spectrum of topological modular forms. The book concludes with the three original, pioneering and enormously influential manuscripts on the subject, by Hopkins, Miller, and Mahowald.

Author : H.R. Margolis
Publisher : Elsevier
ISBN 13 : 0080960170
Total Pages : 511 pages
Book Rating : 4.73/5 ( download)

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Download or read book Spectra and the Steenrod Algebra written by H.R. Margolis and published by Elsevier. This book was released on 2011-08-18 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: I have intended this book to be more than just the sum of its chapters, and the introduction is, in part, an attempt to spell out what the more is. Algebraic topology is the study of topological problems by algebraic means. More precisely, this has come to be framed as the study of topological categories by means of functors to algebraic categories. Beyond the basic definitions and structure, the focus is often on particular problems, for example, Adams’ use of K-theory to solve the vector fields on spheres problem. On the other hand, there are contributions of a more global nature yielding insight into the overall structure of some topological category, for example, Quillen’s work on rational homotopy type. This book is intended primarily as a contribution of this latter sort. So while there will be a variety of particular examples and computations, and although the structure being developed has significant application to many specific problems (some of which are considered here), the major thrust of the text is toward understanding the global structure and linkage of the topological and algebraic categories considered: the stable homotopy category and the category of modules over the Steenrod algebra.

Author : J.C.J. Nihoul
Publisher : Elsevier
ISBN 13 : 9780080870625
Total Pages : 492 pages
Book Rating : 4.27/5 ( download)

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Download or read book Marine Forecasting written by J.C.J. Nihoul and published by Elsevier. This book was released on 1979-01-01 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marine Forecasting