2009 |
Buchstaber V., Panov T.E., Ray N., Toric genera, Accepted to print in AMRN; Preprint, 2009; arXiv:0908.3298.
|
Buchstaber V., T.E.Panov, Toric Topology, Dobrushin International Conference, Proceedings, Moscow, Russia, 2009, 27--36.
|
Buchstaber V., Ring of Combinatorial Polytopes and Applications, Mathematisches Forschungsinstitut Oberwolfach,
Report No. 01/2009, Toric Geometry, 4 - 10 January, 2009, 14--16.
|
Buchstaber V., E.Yu.Bunkova, Heat Equation and Families of Two-Dimensional Sigma Functions, Proceedings of the Steklov Institute of Mathematics, v. 266, 2009, 1-28.
|
2008 |
Buchstaber V., O.V.Karpov, Tertychniy S.I., Niemeyer J., Kieler O., Modeling of rf-biased overdamped Josephson junctions, J. Appl. Phys., 104, 093910, 2008; Virtual Journal of Applications of Superconductivity, v. November 15, 2008, Issue 10.
|
Buchstaber V., Lectures on Toric Topology, Toric Topology Workshop, KAIST 2008, Trends in Mathematics, Information Center for Mathematical Sciences, V. 11, N. 1, 2008, 1-55.
|
Buchstaber V., Leykin D.V., Solution of the problem of differentiation of Abelian functions over parameters for families of
(n,s)-curves, Funct. Anal. Appl., 42:4, 2008, 268-278.
|
Buchstaber V., Ring of Simple Polytopes and Differential Equations, Proceedings of the Steklov Institute of Mathematics, v. 263, 2008, 1-25.
|
Buchstaber V., Terzic' S., Equivariant complex structures on homogeneous spaces and their cobordism classes, Geometry, Topology, and Mathematical Physics, S.P.Novikov"s seminar: 2006-2007 (V.M.Buchstaber, I.M.Krichever, Eds), Providence (RI), Amer. Math. Soc. Transl., v. 224, ser. 2, 2008, 27-57; arXiv:math. AT/0708.2054 v.1, 15 Aug 2007.
|
Buchstaber V., Ray N., An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron, Toric topology., Contemp.
Math., v. 460, Providence (RI): Amer. Math. Soc., 2008, 1-27; MIMS, 2008.31: http://www.manchester.ac.uk/mims/eprints. http://www.manchester.ac.uk/mims/eprints
|
Buchstaber V., Face-polynomials of simple polytopes and two-parameter Todd genus, Russian Math. Surveys, v. 63, Issue 3, 2008, 554--556.
|
Buchstaber V., Rees E.G., Frobenius n-homomorphisms, transfers and branched coverings, Proceeding of the Cambridge Phil. Society, v. 144(1), 2008, 1-12;
ArXiv: math.RA/0608120 v. 1, 4 Aug 2006.
|
2007 |
Buchstaber V., Panov T., Ray N., "Spaces of polytopes and cobordism of quasitoric manifolds". Moscow Math. Journal 7 (2007), no.2, 219-242. http://arxiv.org/abs/math.AT/0609346
|
Buchstaber V., The Leonhard Euler Tercentenary. The problem of support for young mathematicians, Newsletter of the EMS, Issue 65, EMS,
September 2007, 3-4.
|
Buchstaber V., Abelian Functions and Singularity Theory, International Conference "Analysis and Singularities", dedicated to the 70th
anniversary of V.I. Arnold, Book of abstracts, Steklov Math. Inst., Moscow, August 20 - 24, 2007, 117-118.
|
Buchstaber V., Koritskaya E.V., The Quasi-Linear Burgers-Hopf Equation and the Stasheff Polytopes, Funct. Anal. Appl., 41:3, 2007, 196-207.
|
Buchstaber V., Leykin D.V., Differentiation of Abelian functions over its parameters, Russian Math. Surveys, v. 62, Issue 4, 2007, 787-789.
|
Buchstaber V., Ray N., The Universal Equivariant Genus and Krichever"s Formula, Russian Math. Surveys, v. 62, Issue 1, 2007, 178-180.
|
Buchstaber V., Panov T.E., Ray N., Spaces of polytopes and cobordism of quasitoric manifolds, Moscow Math. J., v. 7, N. 2, 2007, 219-242; arXiv: Math. AT/0609346.
|
Buchstaber V., Kolmogorov and Topology, Chapter 1 in the book: "Kolmogorov`s Heritage in Mathematics", edited by E.Charpenter, A.Lesne, N.Nikolski, Springer-Verlag Berlin Heidelberg, 2007.
|
Buchstaber V., Lazarev A., Dieudonne modules and p-divisible groups asoociated with Morava K-theory of Eilenberg-Mac Lane spaces, Algebraic and Geometric Topology, 7, 2007, 529--564; arXiv:math. AT/0507036 v.1, 2 Jul 2005.
|
2006 |
Buchstaber V., Gaifullin A., "Representations of m-valued groups on triangulations of manifolds", Russ. Math. Surv., 2006, 61 (3), 560–562 http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=rm&paperid=1751&option_lang=rus
|
Buchstaber V., Karpov O.V., Sherstobitov S.V., Tertychniy S.I., Niemeyer J., Kieler O., Josephson junction parameters for alternating current wave form synthesis, J. Appl. Phys., 100, 093907, 2006.
|
Buchstaber V., Analogous polytopes, toric manifolds and complex cobordisms, International conference on Toric Topology, Osaka, 29.05. - 03.06.2006.
|
Buchstaber V., Gaifullin A.A., Representations of m-valued groups on triangulations of manifolds, Russian Math. Surveys 61, Issue 3, 2006, 560-562.
|
Buchstaber V., Euler characteristic, Dehn-Sommerville characteristics, and their applications, In the book: "Topology in Molecular Biology", Springer Series in Solid-Sciences, v. 150, 2006, 163-176.
|
Buchstaber V., The n-valued groups: theory and applications, Moscow Math. J., v. 6, N. 1, 2006, 57-84.
|
Buchstaber V., Krichever I.M., Integrable equations, addition theorems, and the Riemann-Schottky problem, Russian Math. Surveys, 61, Issue 1, 2006, 19-78.
|
Buchstaber V., Leykin D.V., Functional equations that define multiplication in a continuous Krichever-Novikov basis, Russian Math. Surveys, v. 61, Issue 1, 2006, 165-167.
|
2005 |
Buchstaber V., Leykin D.V., Differential and differential-functional equations for sigma-functions, Fourth International Conference on Differential and Functional Differential Equations, Moscow, August 14-21, 2005, Book of abstracts.
|
Buchstaber V., Jacobi transformations and its applications, International conference on Selected Problems of
Modern Mathematics, dedicated to the 200th anniversary of K.G. Jacobi, Kaliningrad, April 4-9, 2005, Book of abstracts.
|
Buchstaber V., Lazarev A., The Gelfand Transform in Commutative Algebra, Moscow Math. J., v. 5, N. 2, 2005, 311-327.
|
Buchstaber V., Leykin D.V., Addition laws on Jacobian varieties of plane algebraic curves, Proceedings of the Steklov Math. Inst., v. 251, Issue 4, 2005, 49-120.
|
Buchstaber V., Leykin D.V., Trilinear functional equations, Russian Math. Surveys, v. 60, Issue 2, 2005, 341-343.
|
Buchstaber V., Leykin D.V., Hyperelliptic Addition Law, J. Nonlinear Math. Phys., 12, suppl. 1, 2005, 106--123.
|
2004 |
Baskakov I.V., Buchstaber V., Panov T., "Cellular cochain algebras and torus actions". Russian Math. Surveys 59 (2004), no.3, 562-563; arXiv:math.AT/0407189.
|
Buchstaber V., Panov T., "Combinatorics of simplicial cell complexes, and torus actions". Proceedings of the Steklov Institute of Mathematics, vol. 247, 2004, pp.33-49.
|
Buchstaber V., Panov T., "Toricheskie deistiviya v topologii i kombinatorike" (Torus Actions in Topology and Combinatorics, in Russian). MCCME, Moscow, 2004, 272 pages. http://www.mccme.ru/publications/2004.html
|
Buchstaber V., Kolmogorov et la Topologie, L`heritage de Kolmogorov en mathematiques, Editions Berlin, Paris, 2004, 151-162.
|
Buchstaber V., Panov T.E., Combinatorics of simplicial cell complexes, and torus actions, Proceedings of the Steklov Math. Inst., v. 247, 2004, 1-17.
|
Buchstaber V., Leykin D.V., Heat Equations in a Nonholonomic Frame, Funct. Anal. Appl., 38:2, 2004, 88-101.
|
Buchstaber V., Baskakov I.V., Panov T.E., Cellular cochain algebras and torus actions, Russian Math. Surveys, v. 59, Issue 3, 2004, 562-563.
|
Buchstaber V., Lazarev A.Yu., The discrete Gel"fand transformation and its dual, Russian Math. Surveys, v. 59, Issue 1, 2004, 184-186.
|
Buchstaber V., Rees E.G., Rings of continuous functions, symmetric products, and Frobenius algebras, Russian Math. Surveys, v. 59, Issue 1, 2004, 125-145.
|
Buchstaber V., Panov T.E., Torus actions in topology and combinatorics, Mosk. Tsentr Nepr. Mat. Obraz., Moscow, 2004, 272 pp. (in Russian).
|
Buchstaber V., Shorina S.Yu., w-Function of the KdV Hierarchy, Geometry, Topology, and Mathematical Physics, S.P.Novikov`s seminar: 2002-2003 (V.M.Buchstaber, I.M.Krichever Eds), Providence (RI), Amer. Math. Soc. Transl., v. 212, ser. 2, 2004, 41--46.
|
Buchstaber V., Interview with Sergey P. Novikov, Geometry, Topology, and Mathematical Physics, S.P.Novikov`s seminar: 2002-2003 (V.M.Buchstaber, I.M.Krichever Eds), Amer. Math. Soc. Transl., v. 212, ser. 2, Providence (RI), 2004, 25--40.
|
2003 |
Buchstaber V., Leykin D.V., Pavlov M.V., Egorov`s hydrodynamic chains, Chazy equation and group SL(2,C), Funct. Anal. Appl., 37:4, 2003, 251-262.
|
Buchstaber V., Polynomial Lie algebras and versal deformations, Meeting: Singularities, Obervwolfach, 21 – 27 September, 2003.
|
Buchstaber V., Shorina S.Yu., The w-Function of a Solution the g-th Stationary KdV Equation, Russian Math. Surveys, v. 58, Issue 4, 2003, 780-781.
|
Buchstaber V., Kolmogorov, cohomology and cobordisms, Intern. conf. "Kolmogorov and contemporary mathematics", Book of abstracts, Moscow, June 16 - 21, 2003.
|
Buchstaber V., Monastyrsky M.I., Generalized Kramers-Wannier duality for spin systems with non-commutative symmetry, J. Phys. A, 36, N. 28, 2003, 7679--7692.
|
Buchstaber V., Shorina S.Yu., Commuting multidimensional third-order differential operators defining a KdV hierarchy, Russian Math. Surveys, v. 58, Issue 3, 2003, 610-612.
|
Buchstaber V., T.E.Panov, Torus actions,equivariant moment-angle complexes, coordinate subspace arrangements, Math. Sci. (New York), 113, N. 4, 2003, 558-568; arXiv: math. AT/9912199.
|
2002 |
Buchstaber V., Panov T., "Torus Actions and Their Applications in Topology and Combinatorics". University Lecture Series, vol.24, American Mathematical Society, Providence, RI, 2002 (152 pages). http://www.ams.org/bookstore?fn=20&arg1=ulectseries&ikey=ULECT-24
|
Buchstaber V., Rees E.G., The Gelfand map and symmetric products, Selecta Math. (N.S.), 8, N. 4, 2002, 523-535.
|
Buchstaber V., Algebraic varieties of solutions of two-dim Lame type equations, Intern. conf. "Differential and functional
differential equations", Book of abstracts, Moscow, August 11 - 17, 2002, 19-20.
|
Buchstaber V., Leykin D.V., Polynomial Lie algebras, Functional Anal. Appl., 36:4, 2002, 267-280.
|
Buchstaber V., Enolskii V.Z., Leykin D.V., Eilbeck J.C., Salerno M., Multidimensional Schrodinger equation with Abelian potential, J. Math. Phys., v. 43, N. 6, 2002, 2858--2881.
|
Buchstaber V., Leykin D.V., Graded Lie algebras defining hyperelliptic sigma-functions, Doklady Math. Sci., 66, 4:2, 2003, 87-90.
|
Buchstaber V., Leykin D.V., Lie algebras associated with sigma-functions and versal deformations, Russian Math. Surveys, v. 57, Issue 3, 2002, 584-586.
|
Buchstaber V., Rees E.G., Applications of Frobenius n-homomorphisms, Russian Math. Surveys, v. 57, Issue 1, 2002, 148-149.
|
Buchstaber V., Panov T.E., Torus actions and their applications in topology and combinatorics, University Lecture Series, v. 24, AMS, Providence (RI), 2002, 152 pp.
|
2001 |
Buchstaber V., Symmetric powers as algebraic variety, Conference "Fundamental mathematics today", Dedicated to the 10th anniversary of the Independent University of Moscow, Programme and abstracts, Moscow, December 26 - 29, 2001, 11.
|
Buchstaber V., Leykin D.V., The manifold of solutions of the two-dimensional analogue of the two-zone Lame equation, Russian Math. Surveys, v. 56, Issue 6, 2001, 1155-1157.
|
Buchstaber V., Rees E.G., A constructive proof of the generalized Gelfand isomorphism, Functional Anal. Appl., v. 35, N. 4, 2001, 257-260.
|
Buchstaber V., Integrable nonlineal differential equations and uniformization of universal spaces of Jacobians, Intern. conf. "Differential equations and related topics", Book of abstracts, Moscow, May 22 - 27, 2001, 78.
|
Buchstaber V., Ray N., Tangential Structures on Toric Manifolds and Connected Sums of Polytopes, Int. Math. Res. Notices, N. 4, 2001, 193--219; arXiv: Math AT/0010025.
|
2000 |
Buchstaber V., Panov T., "Torus actions, equivariant moment-angle complexes and coordinate subspace arrangements". Journal of Math. Sciences 113 (2003), no. 4, 558-568; arXiv:math.AT/9912199. http://arxiv.org/abs/math.AT/9912199
|
Buchstaber V., Panov T., "Torus actions determined by simple polytopes". In: "Geometry and Topology: Aarhus" (K.Grove, I.H.Madsen, and E.K.Pedersen, eds.). Contemporary Mathematics, vol.258, American Mathematical Society, Providence, RI, 2000, pp.33-46.
|
Buchstaber V., Panov T., "Moment-angle complexes and combinatorics of simplicial manifolds". Russian Math. Surveys 55 (2000), no.3, 576-579. http://higeom.math.msu.su/people/taras/#publ
|
Buchstaber V., Panov T., "Torus actions, combinatorial topology and homology algebra". Russian Math. Surveys 55 (2000), no.5, 825-921; arXiv:math.AT/0010073. http://arxiv.org/abs/math.AT/0010073
|
Buchstaber V., Leykin D.V., Enolskii V.Z., Uniformization of Jacobi manifolds of trigonal curves, and nonlinear differential equations, Functional Anal. Appl., 34:3, 2000, 159-171.
|
Buchstaber V., Panov T.E., Torus actions, combinatorial topology and homological algebra, Russian Math. Surveys, v. 55, Issue 5, 2000, 825-921.
|
Buchstaber V., Botvinnik B.I., Novikov S.P., Yuzvinskii S.A., Algebraic aspects of the theory of multiplications in complex cobordism theory, Russian Math. Surveys, v. 55, Issue 4, 2000, 613-633.
|
Buchstaber V., Panov T.E., Moment-angle complexes and combinatorics of simplicial manifolds, Russian Math. Surveys, v. 55, Issue 3, 2000, 567-569.
|
Buchstaber V., K.E.Feldman, The index of an equivariant vector field and addition theorems for Pontryagin characteristic classes, Izv. Math. 64:2, 2000, 223-247.
|
Buchstaber V., T.E.Panov, Torus action determined by simple polytopes, "Geometry and Topology: Aarhus" (K.Grove, I.Madsen and E.Pedersen, eds), Contemporary Mathematics 258 AMS, Providence, RI, 2000, 33-46.
|
1999 |
Buchstaber V., Panov T., "Torus actions and combinatorics of polytopes". Proceedings of the Steklov Institute of Mathematics, vol. 225, 1999, pp.87-120; arXiv:math.AT/9909166. http://arxiv.org/abs/math.AT/9909166
|
1998 |
Buchstaber V., Panov T., "Algebraic topology of manifolds defined by simple polytopes". Russian Math. Surveys 53 (1998), no.3, 623-625. http://higeom.math.msu.su/people/taras/#publ
|