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The Ghost length, levels and shriek maps on classifying spaces
Level ghost length Gorenstein space shriek map
2012/4/17
We give a lower bound of the cochain type level of the diagonal map on the classifying space of a Lie group by using the ghostness of a shriek map. Moreover, in a derived category, we discuss the triv...
Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits
mixed Hodge structures Spaces of nilpotent orbits
2010/11/23
We construct toroidal partial compactifications of the moduli spaces of mixed Hodge structures with polarized graded quotients. They are moduli spaces of log mixed Hodge structures with polarized grad...
Classifying spaces of degenerating mixed Hodge structures, II: Spaces of SL(2)-orbits
Classifying spaces degenerating mixed Hodge structures
2010/11/23
We construct an enlargement of the classifying space of mixed Hodge structures with polarized graded quotients, by adding mixed Hodge theoretic version of SL(2)-orbits. This space has a real analytic ...
Classifying spaces and fibrations of simplicial sheaves
classifying spaces fibre sequence simplicial sheaves
2010/12/7
In this paper, we discuss the construction of classifying spaces of fibre sequences in model categories of simplicial sheaves. One construction proceeds via Brown representability and provides a class...