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Orientations and Topological Modular Forms with Level Structure

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arxiv 1507.05116 v1 pith:3EU3NQLC submitted 2015-07-17 math.AT

Dylan Wilson This is my paper · ORCID
classification math.AT
keywords orientationscobordisme-infinityformslevelmodularseriesstructure
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Using the methods of Ando-Hopkins-Rezk, we describe the characteristic series arising from E-infinity genera valued in topological modular forms with level structure. We give examples of such series for tmf_0(N) and show that the Ochanine genus comes from an E-infinity ring map. We also show that, away from 6, certain tmf orientations of String cobordism descend to orientations of Spin cobordism.

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  1. Modeling Group Actions on Stacks (Especially the Lubin-Tate Action)

    math.AG 2025-06 conditional novelty 3.0 of 10

    A survey codifying geometric modeling and two-tower methods for group actions on formal moduli stacks, with the Lubin-Tate action as the guiding example.

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