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arXiv · 1807.07888

De Rham epsilon factors for flat connections on higher local fields

Michael Groechenig
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Abstract

This note is a companion to the author's "Higher de Rham epsilon factors". Using Grayson's binary complexes and the formalism of $n$-Tate spaces we develop a formalism of graded epsilon lines, associated to flat connections on a higher local field of characteristic $0$. The definition is based on comparing a Higgs complex with a de Rham complex on the same underlying vector bundle.

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Michael Groechenig. 2018-07-20. De Rham epsilon factors for flat connections on higher local fields. https://arxiv.org/abs/1807.07888

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