Equivariant Morse inequalities and applications

2012/05/15 by Wen Lu, Lu, Wen
Mathematics · #53C21 #58E40 #Algebraic Topology (math.AT) #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1205.3437

openalex publication_date 2012/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove equivariant Morse inequalities via Bismut-Lebeau's analytic localization techniques. As an application, we obtain Morse inequalities on compact manifold with nonempty boundary by applying equivariant Morse inequalities to the doubling manifold.

Related

• Morse inequalities for manifolds with boundary
• Analytic approach to S¹-equivariant Morse inequalities
• Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate
• Morse inequalities for noncompact manifolds
• Equivariant Holomorphic Morse Inequalities III: Non-Isolated Fixed Points