Heegaard splittings and singularities of the product map of Morse functions

Kazuto Takao

doi:10.1090/s0002-9947-2013-06015-1

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arXiv · 1205.1206

Heegaard splittings and singularities of the product map of Morse functions

Kazuto Takao

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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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BibTeX RIS

Kazuto Takao. 2013-09-03. Heegaard splittings and singularities of the product map of Morse functions. https://doi.org/10.1090/s0002-9947-2013-06015-1

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