”Non-linear homomorphims of algebras of functions
are induced by thick morphisms'
(May,2020)
Thick morphisms on
supermanifolds, quantum mechanics and spinor
representation”
(Geometry and Physics, (2019) with T.Voronov)
Diophantine equations, Platonic
solids, McKay correspondence,
equivelar maps and Vogel’s
universality
(Geometry and Physics, 114, (2017), 8590,
with R.L. Mkrtchyan)
Universal volume of
groups and
anomaly of Vogel’s symmetry
(Lett. in Math.Phys.,
(2017), 107, 8, 1491—1514, with R.L.Mkrtchyan)
Odd potential; geometrical meaning of Laplacian, and
modular class
(Lett. Math. Phys.,
107,7, pp. 11951214
(2017), with M.Peddie)
Operator pencils on the
algebra of densities
(Proceedings of Steklov Institute) (With A.Biggs )
Kaluza-Klein theory revisited:
projective structures and dufferential operators
on the algebra of densities arXiv:math 1312.5208
Geometric constructions on the algebra of densities.
arXiv:math 1310.0784.. (With T. Voronov)
Operator pencil passing through a
given operator
math-archive:1301.6625. (With A.Biggs ))
Second order operators on the algebra of
densitities and a groupid of connections
(Max-Planck-Institut fur mathemtaik Preprint series 2011 (73),
(With T. Voronov)
Berezinians, exterior powers and recurrent sequences.
(Lett. Math. Phys. 74 (2005), Number 2, November 2005 [Berezin Memorial Volume], 201-228, arXiv:math.DG/0309188. (With T. Voronov))
On generalized symmetric powers and a generalization of Kolmogorov-Gelfand-Buchstaber-Rees theory.
Russian Math. Surveys 62 (3) (2007), 209-210, arXiv:math.RA/0612072. (With T. Voronov)
Semidensities on odd symplectic supermanifolds.
{Comm. Math. Phys.}, v. 247 (2004), pp. 353-390. ArXiv:math.DG/0012256}.
On odd Laplace operators.
Lett. Math. Phys. 62 (2002), 127-142, arXiv:math.DG/0205202. (With T. Voronov)
On odd Laplace operators. II,
In: Geometry, Topology and Mathematical Physics. S. P. Novikov's seminar: 2002 - 2003, V. M. Buchstaber and I. M. Krichever, eds. AMS Translations, Ser. 2, Vol. 212, Amer. Math. Soc., Providence, RI, 2004, 179-205, arXiv:math.DG/0212311. (With T. Voronov)