منابع مشابه
Rational equivalences between classifying spaces
The paper contains a homotopy classification of rational equivalences between classifying spaces of compact connected Lie groups with an application to genus sets of such spaces. Mathematics Subject Classification (1991): 55R35, 55P10, 55P60, 55S37
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In 1976, Adams & Mahmud 3] published the rst systematic study of the problem of determining the homological properties of maps between classifying spaces of compact connected Lie groups. This was continued in later work by one or both authors: Adams 2] extended some of the results to the case of non-connected Lie groups by using complex K-theory; while Adams & Mahmud 4] identiied further restri...
متن کاملMaps between classifying spaces revisited
In an earlier paper, we developed general techniques which can be used to study the set of homotopy classes of maps between the classifying spaces of two given compact Lie groups. Here, we describe more precisely the general strategy for doing this; and then, as a test of these methods, apply them to determine the existence and uniqueness of (potential) maps BG −→ BG′ studied earlier by Adams a...
متن کاملCircle-equivariant Classifying Spaces and the Rational Equivariant Sigma Genus
We analyze the circle-equivariant spectrum MStringC which is the equivariant analogue of the cobordism spectrum MU〈6〉 of stably almost complex manifolds with c1 = c2 = 0. In [Gre05], the second author showed how to construct the ring T-spectrum EC representing the T-equivariant elliptic cohomology associated to a rational elliptic curve C. In the case that C is a complex elliptic curve, we cons...
متن کاملSelf Homotopy Equivalences of Classifying Spaces of Compact Connected Lie Groups
In an earlier paper [JMO], we gave a complete description of all homotopy classes of self maps of the classifying space BG, when G is any compact connected simple Lie group. In this paper, we extend those results to the case where G is any compact connected Lie group, but only considering self maps of BG which are rational equivalences. Most of the paper deals with self maps of the p-adic compl...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2002
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-002-0445-3