Papers since 1996:
- Q-manifolds and higher analogs of Lie algebroids.
In: XXIX Workshop on Geometric Methods in Physics. AIP CP 1307, pp. 191--202, Amer. Inst. Phys., Melville, NY, 2010, arXiv:1010.2503 [math.DG].
- A short proof of the Buchstaber-Rees theorem.
Phil. Trans. R. Soc. A. (2011) (in press), arXiv:1010.2488v1 [math-ph]. (With H. Khudaverdian.).
- On a non-Abelian Poincaré lemma.
arXiv:0905.0287v2 [math.DG].
- Higher Poisson brackets and differential forms.
In: Geometric Methods in Physics. AIP Conference Proceedings 1079, American Institute of Physics, Melville, New York, 2008, 203-215.
arXiv:0808.3406v2 [math-ph]. (With H. Khudaverdian.)
- Differential forms and odd symplectic geometry.,
In: Geometry, Topology and Mathematical Physics. S. P. Novikov's seminar: 2006-2007, V. M. Buchstaber and
I. M. Krichever, eds. AMS Translations, Ser. 2,
Vol. 224, Amer. Math. Soc., Providence, RI, 2008, 159-171, arXiv:math.DG/0606560. (With H. Khudaverdian.)
- Operators on superspaces and generalizations of the Gelfand-Kolmogorov theorem.
In: XXVI Workshop on Geometric Methods in Physics. Białowieża, Poland, 1 - 7 July 2007. AIP Conference Proceedings 956, Melville, New York, 2007, p. 149-155.
arXiv:0709.4402 [math-ph]. (With H. Khudaverdian.)
- Q-manifolds and Mackenzie theory: an overview.
ESI preprint 1952, arXiv:0709.4232 [math.DG]
- 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 H. Khudaverdian.)
- Mackenzie theory and Q-manifolds. arXiv:math.DG/0608111.
- Differential forms and odd symplectic geometry. arXiv:math.DG/0606560. (With H. Khudaverdian.)
- New facts about Berezinians.
In: Supersymmetries and Quantum Symmetries 2005. Proceedings of International Workshop, Joint Institute of Nuclear Research, Dubna, 27-31 July 2005, E. Ivanov and B. Zupnik, eds., Dubna, 2006, 393-398, arXiv:math-ph/0512031. (With H. Khudaverdian.)
- Higher derived brackets for arbitrary derivations.
Travaux Mathématiques XVI (2005), 163-186, arXiv:math.QA/0412202
- 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 H. Khudaverdian.)
- Higher derived brackets and homotopy algebras.
J. Pure and Appl. Algebra. 202 (2005), Issues 1-3, 1 November 2005, 133-153, arXiv:math.QA/0304038
- Geometry of differential operators, odd Laplacians, and homotopy algebras,
J. Nonlinear Math. Phys. 11 (2004), Supplement,
217-227, arXiv:math.DG/0402292.
(With H. Khudaverdian.)
- An alternative form of the Helmholtz criterion in the inverse problem of calculus of variations,
Lett. Math. Phys. 67 (2) (2004), 103-110, arXiv:math.DG/0308179
- Geometry of differential operators, and odd Laplace operators.
Russian Math. Surveys 58(1) (2003), 197-198, arXiv:math.DG/0301236.
(With H. Khudaverdian.)
- 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 H. Khudaverdian.)
- On odd Laplace operators.
Lett. Math. Phys. 62 (2002), 127-142, arXiv:math.DG/0205202.
(With H. Khudaverdian.)
- Graded manifolds and Drinfeld doubles for Lie bialgebroids.
In: Quantization, Poisson Brackets and Beyond, Theodore
Voronov, ed., Contemp. Math., Vol. 315, Amer. Math. Soc.,
Providence, RI, 2002, 131-168, arXiv:math.DG/0105237.
- On complexes related with calculus of variations.
J. Geom. Phys. 44 (2-3) (2002), 221-250, arXiv:math.DG/0105223.
(With H. Khudaverdian.) - Dual forms on
supermanifolds and Cartan calculus.
Commun. Math.
Phys. 228 (1) (2002), 1-16, arXiv:math.DG/9912192.
- Cartan calculus
for dual forms.
Russian Math. Surveys 56
(2) (2001), 421-422. - Quantization of forms on
the cotangent bundle.
Commun. Math. Phys.,
205 (1999) 2, 315-336, arXiv:math.DG/9809130.
- Supermanifold forms and integration. A dual theory.
In: Solitons, Geometry, and Topology: On the Crossroad, V. M. Buchstaber and S. P. Novikov, eds. AMS Translations, Ser. 2, Vol. 179, Amer. Math. Soc., Providence, RI, 1997, 153-172, arXiv:math.DG/9603009.
- A complex generated by variational derivatives. Lagrangian formalism of infinite order and a generalized Stokes' formula.
Russian Math. Surveys 51(6) (1996): 1229-1230, arXiv:math.DG/9711013.
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Ted Voronov.
22 January (4 February) 2011