2 papers
math.CV2024
Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate
Manli Liu, Guokuan Shao, Wenxuan Wang
In this paper, we establish strong holomorphic Morse inequalities on non-compact manifolds under the condition of optimal fundamental estimates. We show that optimal fundamental es…
math.CV2024
Asymptotics of Spectral Functions of Lower Energy Forms on Weakly 1-Complete Manifolds
Xiquan Peng, Guokuan Shao, Wenxuan Wang
In this paper, we show that the optimal fundamental estimate holds true on a weakly -complete manifold with mild conditions, then we establish the weak Morse inequalities for lo…