The Morse flow category of a Morse-Smale pair is equivalent as an infinity-category to the exit path infinity-category of the manifold stratified by stable manifolds.
[Cor82] Jean-Marc Cordier
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Transport functions are constructed from Morse data to describe principal bundles, enabling a DG-coefficient Morse homology whose homology equals that of associated bundles in many cases and matches parallel transport constructions for smooth bundles.
citing papers explorer
-
Morse flow categories as exit path categories
The Morse flow category of a Morse-Smale pair is equivalent as an infinity-category to the exit path infinity-category of the manifold stratified by stable manifolds.
-
Transport functions for principal bundles and Morse homology with differential graded coefficients
Transport functions are constructed from Morse data to describe principal bundles, enabling a DG-coefficient Morse homology whose homology equals that of associated bundles in many cases and matches parallel transport constructions for smooth bundles.