5 papers
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…
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…
Loop Space Splittings of Sphere Bundles over Highly Connected Poincaré Complexes
Wen Shen
Let , and let be an -connected -Poincaré complex. In this paper, we establish sufficient conditions under which the loop space of the total space o…
Manifold structures on highly connected Poincaré complexes
Wen Shen
This paper constructs numerous examples of highly connected Poincaré complexes, each homotopy equivalent to a topological manifold yet not homotopy equivalent to any smooth manifo…
On spherical fibrations and Poincare complexes
Wen Shen
In this paper, we prove that certain spherical fibrations over certain CW-complexes are stably fibre homotopy equivalent to $\mm{TOP}$-spherical fibrations (see Definition 1,1). Ap…