Global calculus in BRST cohomology
G.Giachetta, L.Mangiarotti, G.Sardanashvily
TL;DR
This paper investigates the iterated BRST cohomology by computing the cohomology of the variational complex on infinite jet spaces, addressing the global inverse problem in Lagrangian field theory.
Contribution
It provides a novel computation of the iterated BRST cohomology and offers a solution to the global inverse problem in the calculus of variations.
Findings
Computed cohomology of the variational complex on infinite jet spaces.
Solved the global inverse problem of the calculus of variations.
Enhanced understanding of BRST cohomology in field theory.
Abstract
The iterated BRST cohomology is studied by computing cohomology of the variational complex on the infinite order jet space of a smooth fibre bundle. This computation also provides a solution of the global inverse problem of the calculus of variations in Lagrangian field theory.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models