Shuhan Jiang

activity

20232026

collaborators

Showing 2026Show all

4 papers · 1 filter

math-ph2026

Higher abelian gauge theory in BV formalism

Shuhan Jiang

A BV structure is constructed on the space of zero modes of a quadratic elliptic higher abelian gauge theory. The associated BV integral is shown to be independent of the choice of…

math.DG2026

From $L_{\infty}$ algebroids to $L_{\infty}$ spaces: Part I

Alberto S. Cattaneo, Shuhan Jiang

The notion of $L_{\infty}$ spaces over dg manifolds is developed. An equivalence between the category of transitive $L_{\infty}$ algebroids and that of $L_{\infty}$ spaces is established…

math.DG2026

Homotopy theory for curved $L_{\infty}$ spaces

Shuhan Jiang

This paper proves that $L_{\infty}$ spaces over a dg manifold form a category of fibrant objects. Together with the first main result of the companion paper [CJ26], this implies that…

math.AG2026

Almost Vector Bundles over Perfectoid Spaces

Yuntong Cui, Guo Li, Shuhan Jiang +1

In this paper, we define vector bundles within the framework of almost mathematics (referred to as almost vector bundles) and establish the $v$ -descent theorem together with a stru…

Higher abelian gauge theory in BV formalism

From L∞​ algebroids to L∞​ spaces: Part I

Homotopy theory for curved L∞​ spaces

Almost Vector Bundles over Perfectoid Spaces

From $L_{\infty}$ algebroids to $L_{\infty}$ spaces: Part I

Homotopy theory for curved $L_{\infty}$ spaces