Topological Modular Forms
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Topological Modular Forms

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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 o...