Publication
Title
Higher Morse moduli spaces and n-categories
Author
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'.
Language
English
Source (journal)
Homology, homotopy & applications
Publication
2014
ISSN
1532-0073
Volume/pages
16:2(2014), p. 1-32
Full text (Publishers DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Publication type
Subject
External links
Record
Identification
Creation 11.02.2015
Last edited 21.11.2016