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arXiv · 1004.2895

The moduli space of generalized Morse functions

Boris Botvinnik·Ib Madsen
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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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Boris Botvinnik, Ib Madsen. 2010-04-16. The moduli space of generalized Morse functions. https://arxiv.org/abs/1004.2895

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