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math.DG2024
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…
math.DG2023
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…