Topological modular and automorphic forms

Authored by: Mark Behrens

Handbook of Homotopy Theory

Print publication date:  December  2019
Online publication date:  December  2019

Print ISBN: 9780815369707
eBook ISBN: 9781351251624
Adobe ISBN:


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The spectrum of topological modular forms (TMF) was first introduced by Hopkins and Miller [53], [48], [47], and Goerss and Hopkins constructed it as an E ring spectra (see [17]). Lurie subsequently gave a conceptual approach to TMF using his theory of spectral algebraic geometry [69]. Lurie’s construction relies on a general theorem [70], [71], which was used by the author and Lawson to construct spectra of topological automorphic forms (TAF) [19].

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