1 citations · 1 across the 4 of their papers we have counts for
5 papers
Fitting Gaussian vectors in normed spaces
Guillaume Aubrun, Emmanouil Stavrakakis
Given a family of i.i.d. Gaussian points in a -dimensional normed space, what is the probability that some linear transformation maps it to the unit sphere? The case of a Eu…
A vanishing property about the 1-filtered cohomology groups of (4n+2)-dimensional closed symplectic manifolds
Hao Zhuang
This note is a follow-up to our previous work arXiv:2505.14496. For any (4n+2)-dimensional closed symplectic manifold, we find that the dimension of the even-degree part of its 1-f…
Symplectic semi-characteristics
Hao Zhuang
We study the symplectic semi-characteristic of a closed 4n-dimensional symplectic manifold. First, using the even-degree part of the primitive cohomology, we define the symplectic…
Kervaire semi-characteristics in KK-theory and an Atiyah type vanishing theorem
Hao Zhuang
On (4n + 1)-dimensional (noncompact) manifolds admitting proper cocompact Lie group actions, we explore the analytic and topological sides of Kervaire semi-characteristics. The ana…
Analytic and topological realizations of the invariant Thom-Smale complex
Hao Zhuang
For a Morse function, its associated Thom-Smale cochain complex admits an analytic realization initiated by Witten. However, due to the unboundedness of the eigenvalues of the defo…