T. Panov - Publications

2009

Panov T., "Topology and combinatorics of torus actions". Doctor of science thesis (profound scientific research work required for attaining higher academic positions or professorships in the former Soviet Union). Summary (19 pages, in Russian). To be defended in Moscow State University on 25 December 2009. http://higeom.math.msu.su/people/taras/#publ
Panov T., "Topology and combinatorics of torus actions". Doctor of science thesis (profound scientific research work required for attaining higher academic positions or professorships in the former Soviet Union). Full text (298 pages, in Russian). To be defended in Moscow State University on 25 December 2009. http://iitp.ru/ http://higeom.math.msu.su/people/taras/#publ

2008

Panov T., Ray N., "Categorical aspects of toric topology". In: "Toric Topology" (M.Harada et al, eds.), Contemporary Mathematics, vol.460, American Mathematical Society, Providence, RI, 2000, pp.293-322. http://arxiv.org/abs/0707.0300
Panov T., "Cohomology of face rings, and torus actions". London Math. Soc. Lecture Notes, vol.347, Surveys in Contemporary Mathematics, Cambridge, 2008, pp.165-201. http://arxiv.org/abs/math.AT/0506526
Masuda M., Panov T., "Semifree circle actions, Bott towers, and quasitoric manifolds". Sbornik Math. 199 (2008), no.7-8, 1201-1223; arXiv:math.AT/0607094. http://higeom.math.msu.su/people/taras/#publ
Panov T., "Toric Kempf-Ness sets". Proceedings of the Steklov Institute of Mathematics, vol.263, 2008, pp.150-162; arXiv:math.AG/0603556. http://higeom.math.msu.su/people/taras/#publ
Choi S., Panov T., Suh D., "Toric cohomological rigidity of simple convex polytopes". Submitted preprint (2008); arXiv:0807.4800. http://arxiv.org/abs/0807.4800
Harada M., Karshon Y., Masuda M., Panov T., Toric Topology. International Conference, May 28--June 3, 2006, Osaka City University, Osaka, Japan. Contemporary Mathematics, vol.460, American Mathematical Society, Providence, RI, 2008 (401 pages). http://www.ams.org/bookstore?fn=20&arg1=conmseries&ikey=CONM-460

2007

Maeda H., Masuda M., Panov T., "Torus graphs and simplicial posets". Advances in Math. 212 (2007), no.2, 458-483. http://arxiv.org/abs/math.AT/0511582
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

2006

Masuda M., Panov T., "On the cohomology of torus manifolds", Osaka J. Math. 43 (2006), 711-746. http://arxiv.org/abs/math.AT/0306100

2005

Alania L., Gusein-Zade S.M., Dynnikov I.A., Manuilov V., Millionshchikov D.V., Mishchenko A.S., Morozova E.A., Panov T., Postnikov M.M., Sklyarenko E.G., Troitsky E.V., Sbornik zadach po analiticheskoj geometrii i linejnoj algebre (Problem book in analytic geometry and linear algebra, in Russian), Yu.M.Smirnov ed. Fizmatlit, Moscow, 2000; 2nd edition, Moscow State University, 2005. http://higeom.math.msu.su/people/taras/#publ

2004

Panov T., Ray N., Vogt R., "Colimits, Stanley-Reisner algebras, and loop spaces". In: "Categorical Decomposition Techniques in Algebraic Topology" (G.Arone et al eds.). Progress in Mathematics, vol.215, Birkhauser, Basel, 2004, pp.261-291. http://arxiv.org/abs/math.AT/0202081
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

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

2001

Panov T., "Hirzebruch genera of manifolds with torus actions". Izvestiya: Mathematics 65 (2001), no.3, 543-556; arXiv:math.AT/9910083. http://arxiv.org/abs/math.AT/9910083

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

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
Panov T., "Combinatorial formulae for the x_y-genus of a polyoriented quasitoric manifold". Russian Math. Surveys 54 (1999), no.5, 1037-1039. http://higeom.math.msu.su/people/taras/#publ
Panov T., ``Topological invariants of manifolds with Z/p- or T^n-actions" (in Russian). Candidate of science thesis (Ph.D. equivalent in the former Soviet Union). Summary (17 pages). Defended in Moscow State University 11 June 1999. http://higeom.math.msu.su/people/taras/#publ
Panov T., ``Topological invariants of manifolds with Z/p- or T^n-actions" (in Russian). Candidate of science thesis (Ph.D. equivalent in the former Soviet Union). Full text (88 pages). Defended in Moscow State University 11 June 1999. http://higeom.math.msu.su/people/taras/#publ

1998

Panov T., "Classification up to cobordism of manifolds that carry a simple action of the group Z/p". Math. Notes 63 (1998), no. 1-2, 225-232; arXiv:math.AT/9908166. http://higeom.math.msu.su/people/taras/#publ
Panov T., "Calculation of Hirzebruch genera for manifolds acted on by the group Z/p via invariants of the action". Izvestiya: Mathematics 62 (1998), no.3, 515-548; arXiv:math.AT/9909081 http://higeom.math.msu.su/people/taras/#publ
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

1997

Panov T., "Elliptic genus for manifolds with an action of the group Z/p". Russian Math. Surveys 52 (1997), no.2, 418-419. http://higeom.math.msu.su/people/taras/#publ

1996

Panov T., "On the structure of a Hopf 2-algebra in the cohomology of four-dimensional manifolds". Russian Math. Surveys 51 (1996), no. 1, 155-157. http://higeom.math.msu.su/people/taras/#publ