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Title
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Higher Morse moduli spaces and n-categories
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Author
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Abstract
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| 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'. |
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Language
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English
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Source (journal)
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Homology, homotopy & applications
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Publication
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2014
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ISSN
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1532-0073
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DOI
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10.4310/HHA.2014.V16.N2.A1
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Volume/pages
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16
:2
(2014)
, p. 1-32
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Full text (Publisher's DOI)
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Full text (open access)
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