The Goodwillie Tower and the EHP Sequence - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Goodwillie Tower and the EHP Sequence write by Mark Behrens. This book was released on 2012. The Goodwillie Tower and the EHP Sequence available in PDF, EPUB and Kindle. 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.
The Last Hawk
The Last Hawk - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Last Hawk write by Catherine Asaro. This book was released on 2022-09-27. The Last Hawk available in PDF, EPUB and Kindle. “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
The Adams Spectral Sequence for Topological Modular Forms
The Adams Spectral Sequence for Topological Modular Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Adams Spectral Sequence for Topological Modular Forms write by Robert R. Bruner. This book was released on 2021-12-23. The Adams Spectral Sequence for Topological Modular Forms available in PDF, EPUB and Kindle. 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 $H$-infinity ring structure of the sphere and of $tmf$ are used to determine many differentials and relations.
Wind Loads on Structures
Wind Loads on Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wind Loads on Structures write by Arthur N. L. Chiu. This book was released on 1970. Wind Loads on Structures available in PDF, EPUB and Kindle.
Topological Modular Forms
Topological Modular Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Modular Forms write by Christopher L. Douglas. This book was released on 2014-12-04. Topological Modular Forms available in PDF, EPUB and Kindle. 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.
