Title 



Higher Morse moduli spaces and ncategories


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 ncategory. The ncategory 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' ncategory, i.e. it is a strict ncategory `up to canonical isomorphisms'.  

Language 



English


Source (journal) 



Homology, homotopy & applications 

Publication 



2014


ISSN 



15320073


Volume/pages 



16:2(2014), p. 132


Full text (Publishers DOI) 


 

Full text (open access) 


 
