Real line bundles on spheres

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Line bundles on quantum spheres

The (left coalgebra) line bundle associated to the quantum Hopf fibration of any quantum two-sphere is shown to be a finitely generated projective module. The corresponding projector is constructed and its monopole charge is computed. It is shown that the Dirac q-monopole connection on any quantum two-sphere induces the Grassmannian connection built with this projector.

متن کامل

Noncommutative Tori, Real Multiplication and Line Bundles

This thesis explores an approach to Hilbert's twelfth problem for real quadratic number elds, concerning the determination of an explicit class eld theory for such elds. The basis for our approach is a paper by Manin proposing a theory of Real Multiplication realising such an explicit theory, analogous to the theory of Complex Multiplication associated to imaginary quadratic elds. Whereas ellip...

متن کامل

Einstein Metrics on Tangent Bundles of Spheres

We give an elementary treatment of the existence of complete Kähler-Einstein metrics with nonpositive Einstein constant and underlying manifold diffeomorphic to the tangent bundle of the (n + 1)-sphere. Mathematics Subject Classification (2000) 53C

متن کامل

Manifolds Homeomorphic to Sphere Bundles over Spheres

1. Statement of results. Let E be the total space of a fe-sphere bundle over the w-sphere with characteristic class a 6 i „ i (SOk+i). We consider the problem of classifying, under the relation of orientation preserving diffeomorphism, all differential structures on E. It is assumed that E is simply connected, of dimension greater than five, and its characteristic class a may be pulled back to ...

متن کامل

0 D ec 2 01 5 NONCOMMUTATIVE LINE BUNDLES ASSOCIATED TO TWISTED MULTIPULLBACK QUANTUM ODD SPHERES

We construct a noncommutative deformation of odd-dimensional spheres that preserves the natural partition of the (2N + 1)-dimensional sphere into (N + 1)many solid tori. This generalizes the case N = 1 referred to as the Heegaard quantum sphere. Our twisted odd-dimensional quantum sphere C∗-algebras are given as multipullback C∗-algebras. We prove that they are isomorphic to the universal C∗-al...

متن کامل

ذخیره 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: Proceedings of the American Mathematical Society

سال: 1971

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1971-0301016-8