String topology for stacks
By: Kai Behrend [and others]
Contributors: Société mathématique de France; Centre national de la recherche scientifique (France)
Series: Astérisque -- 343; Astérisque -- 343.
Publisher: Société mathématique de France
Published: 2012
Place of publication: Paris
Language: eng
Number of pages: 169
ISBN-13: 9782856293423
Subjects: Algebraic stacks; Loop spaces; Algebraic topology; Differential topology
Notes: "Publié avec le concours du Centre National de la Recherche Scientifique."

Includes bibliographical references (pages 165-169).

Abstract also in French.
Table of contents: title: Introduction; title: 1. Topological stacks; title: 2. Homotopy type of a topological stack; title: 3. Vector bundles on stacks; title: 4. Thom isomorphism; title: 5. Loop stacks; title: 6. Bounded proper morphisms of topological stacks; title: 7. Bivariant theory for topological stacks; title: 8. Regular embeddings, submersions, and normally nonsingular morphisms; title: 9. Gysin maps; title: 10. The loop product; title: 11. Hidden loop product for family of groups over a stack; title: 12. Frobenius algebra structures; title: 13. The bv-algebra on the homology of free loop stack; title: 14. Homological conformal field theory and free loop stacks; title: 15. Remarks on brane topology for stacks; title: 16. Orbifold intersection pairing; title: 17. Examples; title: A. Categories fibered in groupoids; title: B. Generalized Fulton-MacPherson bivariant theories.