Cohomological obstructions in locally variational field theories
Mathematical Physics
2015-10-30 v1 math.MP
Abstract
We study cohomological obstructions to the existence of global conserved quantities. In particular, we show that, if a given local variational problem is supposed to admit global solutions, certain cohomology classes cannot appear as obstructions. Vice versa, we obtain a new type of cohomological obstruction to the existence of global solutions for a variational problem.
Keywords
Cite
@article{arxiv.1310.1691,
title = {Cohomological obstructions in locally variational field theories},
author = {M. Francaviglia and M. Palese and E. Winterroth},
journal= {arXiv preprint arXiv:1310.1691},
year = {2015}
}
Comments
9 pages, presented at the XXI Int. Conf. on Integrable Systems and Quantum Symmetries, ISQS-21, Prague, June 12-16 2013