Higher Morse moduli spaces and n-categories

Sonja Hohloch

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arXiv · 1703.10696

Higher Morse moduli spaces and n-categories

Sonja Hohloch

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Abstract

We generalize Cohen & Jones & Segal's flow category whose objects are the critical points of a Morse function and whose morphisms are the Morse moduli spaces between the critical points to an n-category. The n-category construction involves repeatedly doing Morse theory on Morse moduli spaces for which we have to construct a class of suitable Morse functions. It turns out to be an `almost strict' n-category, i.e. it is a strict n-category `up to canonical isomorphisms'.

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BibTeX RIS

Sonja Hohloch. 2017-03-30. Higher Morse moduli spaces and n-categories. https://arxiv.org/abs/1703.10696

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