Topological Modular Forms (33 results)
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Topological Modular Forms (Mathematical Surveys and Monographs)
. Ed(s): Douglas, Christopher L.; Francis, John; Henriques, Andre G.; Hill, Michael A.
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Condition: New. Editor(s): Douglas, Christopher L.; Francis, John; Henriques, Andre G.; Hill, Michael A. Series: Mathematical Surveys and Monographs. Num Pages: 315 pages, illustrations. BIC Classification: PBF; PBM; PBP. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2014. hardcover. . . . .
- Hardcover
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Topological Modular Forms
Douglas, Christopher L. (EDT); Francis, John (EDT); Henriques, Andre G. (EDT); Hill, Michael A. (EDT)
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Topological Modular Forms
Douglas, Christopher L. (EDT); Francis, John (EDT); Henriques, Andre G. (EDT); Hill, Michael A. (EDT)
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Paperback. Condition: New. 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.
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- Softcover
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Topological Modular Forms (Mathematical Surveys and Monographs)
. Ed(s): Douglas, Christopher L.; Francis, John; Henriques, Andre G.; Hill, Michael A.
- Hardcover
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Condition: New. Editor(s): Douglas, Christopher L.; Francis, John; Henriques, Andre G.; Hill, Michael A. Series: Mathematical Surveys and Monographs. Num Pages: 315 pages, illustrations. BIC Classification: PBF; PBM; PBP. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2014. hardcover. . . . . Books ship from the US… and Ireland.
Topological Modular Forms
Douglas, Christopher L. (EDT); Francis, John (EDT); Henriques, Andre G. (EDT); Hill, Michael A. (EDT)
- Hardcover
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- Hardcover
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- Hardcover
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Topological Modular Forms
Douglas, Christopher L. (EDT); Francis, John (EDT); Henriques, Andre G. (EDT); Hill, Michael A. (EDT)
- Hardcover
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Language: English
Published by American Mathematical Society, Providence 2021
- Hardcover
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Hardcover. Condition: new. Hardcover. 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. Gives 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
- Softcover
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Paperback. Condition: New. 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.
Language: English
Published by American Mathematical Society, Providence 2021
- Hardcover
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Hardcover. Condition: new. Hardcover. 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. Gives 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Topological Modular Forms (Mathematical Surveys and Monographs)
Christopher L. Douglas, John Francis, André G. Henriques, Mi
- Hardcover
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The Adams Spectral Sequence for Topological Modular Forms (Mathematical Surveys and Monographs, 253)
- Hardcover
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- Softcover
- Print on Demand
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, , GermanyBuchWeltWeit Ludwig Meier e.K.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the spectrum of topological modular forms (also known as 'tmf') describes a generalized…cohomology theory whose coefficient ring are related to the graded ring of holomorphic modular forms with integral cusp expansions. Indeed, these two rings become isomorphic after inverting 6. tmf is constructed as the global sections of a sheaf of E-infinity ring spectra on the moduli stack of (generalized) elliptic curves. This theory has relations to the theory of modular forms in number theory, the homotopy groups of spheres, and conjectural index theories on loop spaces of manifolds. tmf was first constructed by Mike Hopkins and Haynes Miller; many of the computations can be found in preprints and articles by Paul Goerss, Mike Hopkins, Mark Mahowald, Haynes Miller, Charles Rezk, and Tilman Bauer. 108 pp. Englisch.
