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arXiv · 1812.09300

Analytification of mapping stacks

Julian Holstein·Mauro Porta
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Abstract

Derived mapping stacks are a fundamental source of examples of derived enhancements of classical moduli problems. For instance, they appear naturally in Gromov-Witten theory and in some branches of geometric representation theory. In this paper, we show that in many cases the mapping stacks construction commutes with the (complex or non-archimedean) analytification functor. Along the way, we establish several properties of the stack of analytic perfect complexes and study some incarnations of analytic Tannaka duality.

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Julian Holstein, Mauro Porta. 2018-12-21. Analytification of mapping stacks. https://arxiv.org/abs/1812.09300

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