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Qing-Yun Zeng

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Preprint Sep 2026

Derived Smooth and Banach Higher Groupoids: Representability and Descent

We study homotopy theories of higher groupoids in specified geometries, distinguishing geometric representability from realization and descent. Ordinary smooth and Banach-open sheaves admit full Brown categories of fibrant objects. For ordinary geometric groupoids, a crossing-axes obstruction motivates an empty-compati...

Qing-Yun Zeng · 0 citations
Preprint Sep 2026

Superconnections, descent, and monodromy on transversely holomorphic foliations

Let $X$ carry a transversely holomorphic foliation, equivalently an elliptic involutive structure $V\subset T_{\mathbb C}X$, and let ${\mathcal O}_V$ be its sheaf of leafwise-constant, transversely holomorphic functions. We construct a finite superconnection model for the derived category of coherent ${\mathcal O}_V$-m...

Qing-Yun Zeng · 0 citations

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