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arXiv · 2308.01617

The lattice property for perfect complexes on singular stacks

Adeel A. Khan
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Abstract

Let C be the stable oo-category of perfect complexes on a derived Deligne-Mumford stack X of finite type over the complex numbers. We prove that the complexified noncommutative topological Chern character is an isomorphism for C. In the appendix we show the same property for C the stable oo-category of coherent complexes on a derived algebraic space.

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Adeel A. Khan. 2023-08-03. The lattice property for perfect complexes on singular stacks. https://arxiv.org/abs/2308.01617

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