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arXiv · 1806.05966

Synthetic G-jet-structures in modal homotopy type theory

Felix Cherubini
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Abstract

This article constructs the moduli stack of torsionfree $G$-jet-structures in homotopy type theory with one monadic modality. This yields a construction of this moduli stack for any $\infty$-topos equipped with any stable factorization systems. In the intended applications of this theory, the factorization systems are given by the deRham-Stack construction. Homotopy type theory allows a formulation of this abstract theory with surprising low complexity. This is witnessed by the accompanying formalization of large parts of this work.

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Felix Cherubini. 2018-06-15. Synthetic G-jet-structures in modal homotopy type theory. https://doi.org/10.1017/s0960129524000355

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