Geodesic
Schubert Decomposition for Milnor Fibers of the Varieties of Singular Matrices
Journal of Singularities, Tome 18 (2018), pp. 358-396

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We consider the varieties of singular m x m complex matrices which may be either general, symmetric or skew-symmetric (with m even). For these varieties we have shown in another paper that they had compact "model submanifolds", for the homotopy types of the Milnor fibers which are classical symmetric spaces in the sense of Cartan. In this paper we use these models, combined with results due to a number of authors concerning the Schubert decomposition of Lie groups and symmetric spaces via the Cartan model, together with Iwasawa decomposition, to give cell decompositions of the global Milnor fibers.
DOI : 10.5427/jsing.2018.18s
Classification : :11S90, 32S25, 55R80, :57T15, 14M12, 20G05 
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     author = {James Damon},
     title = {Schubert {Decomposition} for {Milnor} {Fibers} of the {Varieties} of {Singular} {Matrices}},
     journal = {Journal of Singularities},
     pages = {358--396},
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James Damon. Schubert Decomposition for Milnor Fibers of the Varieties of Singular Matrices. Journal of Singularities, Tome 18 (2018), pp. 358-396. doi: 10.5427/jsing.2018.18s

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