117485 Moscow, Russia
Work in progress
The study of the cohomological physics constructions (BRST complex,
antifield formalism, and so on) from the standpoint of the algebra
and geometry of PDEs.
Preprints and publications
A. Verbovetsky, Remarks on two approaches to the horizontal
cohomology: compatibility complex and the Koszul-Tate resolution,
Preprint ESI (in preparation).
I. S. Krasil'shchik and
Homological methods in equations of mathematical physics,
Open Education and Sciences, Opava, 1998, Report no.
DIPS 7/98, E-print
(Russian translation will be published by the Independent
University of Moscow).
A. Verbovetsky, Lagrangian formalism over graded algebras,J. Geom. Phys., 18 (1996), 195-214, Report no. SISSA 93/94/FM,E-print hep-th/9407037.
N. G. Khor'kova andA. M. Verbovetsky, On symmetry subalgebras and conservationlaws for the k-e turbulence model and the Navier-
Stokes equations,The Interplay between Differential Geometry and Differential Equations(V. V. Lychagin, ed.), Amer. Math. Soc. Transl.(2),vol. 167, Amer. Math. Soc., Providence,R.I., 1995, pp. 61-90.
A. M. Verbovetsky, A. M. Vinogradov, D. M. Gessler,Scalar differential invariants and characteristic classes ofhomogeneous geometric structures, Mat. Zametki, 51 (1992),no. 6, 15-26 (Russian); English translation in Math. Notes, 51(1992), 543-549.
A. M. Verbovetsky, Local nonintegrability of long-shotwave interaction equations, Acta Appl. Math., 15 (1989),121-136.