منابع مشابه
Stable Homotopy and the J-Homomorphism
Acknowledgements I would like to thank my advisor, Prof. Michael Hopkins, for introducing me to the beautiful world of stable homotopy theory. I am grateful for the wisdom he shared, and for the time and energy he took out of a busy life to start one student down the road of curiosity and amazement. I would also like to thank my parents for their unflagging moral support, and my friends for bei...
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The set üS can be identified with the set of all base point preserving maps of $ into itself. SO(n)> acting on S as R with a point a t infinity, is also a set of base point preserving maps of S onto itself. This defines SO(n) C.tiS. The induced map in homotopy is called the /-homomorphism. If we allow n to go to infinity we have the stable /-homomorphism. By Bott 's results [3] 7Ty(50)=Z, i = —...
متن کاملGroup Representations, A-rings and the J-homomorphism
THIS paper arose from a desire to apply the work of J. F. Adams ‘on the groups J(X)’ [2] to the case where Xis the classifying space B, of a finite group G. Since Adams’ calculations apply only to a finite complex X, and B, is infinite, the results could not be applied directly. Rather than quoting theorems and using limiting processes, the pure algebra has been isolated and independently rewor...
متن کاملJ an 2 00 5 Chiral Equivariant Cohomology I
For a smooth manifold equipped with a compact Lie group action, we construct an equivariant cohomology theory which takes values in a vertex algebra, and contains the classical equivariant cohomology as a subalgebra. The main idea is to synthesize the algebraic approach to the classical equivariant cohomology theory due to H. Cartan and Guillemin-Sternberg, with the chiral de Rham algebra of Ma...
متن کاملJ an 2 00 5 Chiral Equivariant Cohomology I Bong
For a smooth manifold equipped with a compact Lie group action, we construct an equivariant cohomology theory which takes values in a vertex algebra, and contains the classical equivariant cohomology as a subalgebra. The main idea is to synthesize the algebraic approach to the classical equivariant cohomology theory due to H. Cartan and Guillemin-Sternberg, with the chiral de Rham algebra of Ma...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2003
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2003.v5.n1.a8