Abstract
As is well known, an important operation exists in de Rham cohomology called integration along the fiber for a fiber bundle. In this paper, we extend it to the smooth Deligne cohomology, which is a refinement of ordinary cohomology. First we construct such an explicit map on the Čech cochains and prove a Stokes-type formula which shows that it is a chain map when the fiber has no boundary. Second we prove that the induced map on the smooth Deligne cohomology is canonical; that is, it is independent of all choices used in the construction.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
