Characteristic classes and obstruction theory for infinite loop spaces
نویسندگان
چکیده
منابع مشابه
M-theory and characteristic classes
In this note we show that the Chern-Simons and the one-loop terms in the M-theory action can be written in terms of new characters involving the M-theory four-form and the string classes. This sheds a new light on the topological structure behind M-theory and suggests the construction of a theory of “higher” characteristic classes. E-mail: [email protected] Research supported by the A...
متن کاملS^equivariant Function Spaces and Characteristic Classes
We determine the structure of the homology of the BeckerSchultz space SGiS1) ~ Q(CP^° AS1) of stable Sx-equivariant self-maps of spheres (with standard free S1 -action) as a Hopf algebra over the DyerLashof algebra. We use this to compute the homology of BSGiS1). Along the way, we give a fresh account of the partially framed transfer construction and the Becker-Schultz homotopy equivalence. We ...
متن کاملBundles, Classifying Spaces and Characteristic Classes
Introduction 1 1. Bundles 2 1.1. Pullback 2 1.2. Sections 3 1.3. Fiber bundles as fibrations 4 2. Vector bundles 4 2.1. Whitney sum 5 2.2. Sections of vector bundles 6 2.3. Inner products 6 3. Principal Bundles 7 3.1. Morphisms 7 3.2. Sections and trivializations 8 3.3. Associated bundles 9 3.4. Homotopy classification 11 3.5. B as a functor 14 4. Characteristic classes 16 4.1. Line Bundles 16 ...
متن کاملCategories of Spectra and Infinite Loop Spaces
At the Seattle conference, I presented a calculation of H,(F;Zp) as an algebra, for odd primes p, where F = lim F(n) and F(n) is the topological monoid > of homotopy equivalences of an n-sphere. This computation was meant as a preliminary step towards the computation of H*(BF;Zp). Since then, I have calculated H*(BF;Zp), for all primes p, as a Hopf algebra over the Steenrod and Dyer-Lashof alge...
متن کاملCharacteristic Classes, Chern Classes and Applications to Intersection Theory
This is a report for my summer REU program at the University of Chicago, 2014. I would like to acknowledge my mentor Sean Howe in this program for his generous guidance on learning the subject and writing this article, Professor J.P. May who runs this REU program successfully and made my wonderful experience possible, and Professor M. Yan who has encouraged me ever since my first year in colleg...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Manuscripta Mathematica
سال: 1989
ISSN: 0025-2611,1432-1785
DOI: 10.1007/bf01170938