Abstract
We will show that exact sequences are a basic tool for the following topics: systems of linear equations (linear operator equations), homology and cohomology in topology, the general potential equation in gauge theory; here, Betti numbers are counting the linearly independent constraints for the existence of physical fields on manifolds: Betti numbers are also counting the gauge degrees of freedom of the potentials (modulo cohomology).
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.
