The moduli space of generalized Morse functions
Algebraic Topology
2010-04-19 v1
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.
Keywords
Cite
@article{arxiv.1004.2895,
title = {The moduli space of generalized Morse functions},
author = {Boris Botvinnik and Ib Madsen},
journal= {arXiv preprint arXiv:1004.2895},
year = {2010}
}
Comments
15 pages