Higher Morse moduli spaces and n-categoriesHigher Morse moduli spaces and n-categories
Faculty of Sciences. Mathematics and Computer Science

article

2014 2014

Mathematics

Homology, homotopy & applications

16(2014):2, p. 1-32

1532-0073

E

English (eng)

We generalize Cohen & Jones & Segal's ow 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'.

https://repository.uantwerpen.be/docman/irua/c6b096/75262de6.pdf