Topological Modular Forms: Mathematics, Spectrum (Homotopy Theory), Cohomology Theory, Eilenberg- Steenrod Axioms - Tapa blanda

Topological Modular Forms

Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematicsthe spectrum of topological modular forms (also known as 'tmf')describes a generalized cohomology theory whose coefficient ring arerelated to the graded ring of holomorphic modular forms with integralcusp expansions. Indeed, these two rings become isomorphic afterinverting 6. tmf is constructed as the global sections of a sheaf ofE-infinity ring spectra on the moduli stack of (generalized) ellipticcurves. This theory has relations to the theory of modular forms innumber theory, the homotopy groups of spheres, and conjectural indextheories on loop spaces of manifolds. tmf was first constructed by MikeHopkins and Haynes Miller; many of the computations can be found inpreprints and articles by Paul Goerss, Mike Hopkins, Mark MahowaldHaynes Miller, Charles Rezk, and Tilman Bauer.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 108 pp. Englisch. Nº de ref. del artículo: 9786131234033

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