Cannibalistic classes of string bundles
نویسندگان
چکیده
منابع مشابه
Characteristic classes of complexified bundles
We examine the topological characteristic cohomology classes of complexified vector bundles. In particular, all the classes coming from real vector bundles are computed. We use characteristic classes with the axioms of Milnor and Stasheff [6]. Introduction Definition (Real generator bundles). We consider a real vector bundle F → B and a complex vector bundle E → B over the same base space B. If...
متن کاملCharacteristic Classes of A{bundles
We consider locally trivial bundles over smooth manifolds, whose fibers are finitely generated projective modules over a convenient algebra A. For such a bundle E → X and a bounded reduced cyclic cocycle c on A we construct a sequence chc (E) of de–Rham cohomology classes on X, which are an analog of the classical Chern character. We show that these classes depend only on the cohomology class o...
متن کاملCharacteristic Classes and Quadric Bundles
In this paper we construct Stiefel-Whitney and Euler classes in Chow cohomology for algebraic vector bundles with nondegenerate quadratic form. These classes are not in the algebra generated by the Chern classes of such bundles and are new characteristic classes in algebraic geometry. On complex varieties, they correspond to classes with the same name pulled back from the cohomology of the clas...
متن کاملWeak Equivalence Classes of Complex Vector Bundles
For any complex vector bundle Ek of rank k over a manifold Mm with Chern classes ci ∈ H2i(Mm, Z) and any non-negative integers l1, · · · , lk we show the existence of a positive number p(m, k) and the existence of a complex vector bundle Êk over Mm whose Chern classes are p(m, k) · li · ci ∈ H2i(Mm, Z). We also discuss a version of this statement for holomorphic vector bundles over projective a...
متن کاملCharacteristic Classes of Quantum Principal Bundles
A noncommutative-geometric generalization of classical Weil theory of characteristic classes is presented, in the conceptual framework of quantum principal bundles. A particular care is given to the case when the bundle does not admit regular connections. A cohomological description of the domain of the Weil homomorphism is given. Relations between universal characteristic classes for the regul...
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: 2017
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-017-0978-8