Families of Morse functions for manifolds with boundary

2025/07/21 by Borodzik, Maciej, Buczyńska, Weronika
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2507.15847

Abstract

We study 1-parameter families of Morse functions for manifolds with boundary. We list all degeneracies that may occur in generic 1-parameter families.

Citations

• Merging boundary critical points of a Morse function
• Embedded Morse theory and relative splitting of cobordisms of manifolds

Related

• Morse theory on manifolds with boundary I. Strong Morse function, cellular structures and algebraic simplification of cellular differential
• Existence and deformability of topological Morse functions
• Morse theory without nondegeneracy
• Morse homology of manifolds with boundary revisited
• Morse inequalities for manifolds with boundary