Title
Higher Morse moduli spaces and n-categories Higher Morse moduli spaces and n-categories
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Subject
Mathematics
Source (journal)
Homology, homotopy & applications
Volume/pages
16(2014) :2 , p. 1-32
ISSN
1532-0073
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
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'.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/c6b096/75262de6.pdf