The moduli space of generalized Morse functions

2010/04/16 by Boris Botvinnik, Botvinnik, Boris, Ib Madsen +1
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT

paper · pdf · doi:10.48550/arxiv.1004.2895

15 pages

arxiv created 2010/04/16 · arxiv updated 2010/04/19

Abstract

We study the moduli and determine a homotopy type of the space of all generalized Morse functions on d-manifolds for given d. This moduli space is closely connected to the moduli space of all Morse functions studied in the paper math.AT/0212321, and the classifying space of the corresponding cobordism category.

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