Heegaard splittings and singularities of the product map of Morse functions
classification
🧮 math.GT
keywords
splittingsbounddistancefunctionsheegaardmorseproductreidemeister-singer
read the original abstract
We give an upper bound for the Reidemeister-Singer distance between two Heegaard splittings in terms of the genera and the number of cusp points of the product map of Morse functions for the splittings. It suggests that a certain development in singularity theory may lead to the best possible bound for the Reidemeister-Singer distance.
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