Holomorphic spheres in loop groups and Bott periodicity
نویسندگان
چکیده
منابع مشابه
Bott Periodicity and the Parallelizability of the Spheres
Inti-eduction. The theorems of Bott (4), (5) on the stable homotopy of the classical groups imply that the sphere S is not parallelizable for n 4= 1,3,7. This was shown independently by Kervaire(8) and Milnor(7), (9). Another proof can be found in (3), § 26-11. The work of J. F. Adams (on the non-existence of elements of Hopf invariant one) implies more strongly that S with any (perhaps extraor...
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This paper considers the links between the geometry of the various flag manifolds of loop groups and bundles over families of rational curves. Aa an application, a stability result for the moduli on a rational ruled surface of G-bundles with additional flag structure along a line is proven for any reductive group; this gives the corresponding stability statement for any compact group K for the ...
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ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 1999
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.1999.v3.n4.a5