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.
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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.