Wen Shen

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20242026

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math.AT2026

Loop Space Splittings for Codimensional Sphere Bundles

Wen Shen

In this paper, we establish two loop decomposition theorems for sphere bundles of real vector bundles under appropriate connectivity and characteristic class assumptions. Specifica…

math-ph2026

Two Regularized Determinants of Laplacian through Resurgence theory

Wen Shen, Shanzhong Sun

We study two types of regularizations of the determinant of Laplacian on Riemann manifold from the viewpoint of resurgence theory. One is the formal logarithmic derivative of the d…

math.AT2026

Loop Space Splittings of Sphere Bundles over Highly Connected Poincaré Complexes

Wen Shen

Let $m > n \geq 2$ , and let $N$ be an $(n - 1)$ -connected $2 n$ -Poincaré complex. In this paper, we establish sufficient conditions under which the loop space of the total space $M$ of…