Fundamentals of Orbifolds
A key tool that allows for connecting Sasakian structures to other geometric structures is the theory of Kähler orbifolds and their orbifold bundles or ‘orbibundles’. Orbifolds, just as manifolds, have become a household name to the well trained geometer. Nevertheless, a lot of important results are scattered throughout the literature, and orbifolds typically appear within a specific context. This chapter introduces all the basic concepts from the point of view needed in subsequent chapters such as orbibundles, orbifold homology, and cohomology theory and orbifold characteristic classes. Priority is given to the theory of complex algebraic orbifolds, with a detailed discussion concerning branch divisors and the orbifold canonical divisor and orbibundle. Weighted projective spaces and hypersurfaces in them also play a prominent role.
Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.
If you think you should have access to this title, please contact your librarian.