2010 |
Gaifullin A., "Problem of combinatorial computation of rational Pontryagin classes". Doctor of science thesis (profound scientific research work required for attaining higher academic positions or professorships in the former Soviet Union). Summary (34 pages, in Russian). To be defended in Steklov Mathematical Institute on 23 December 2010.
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Gaifullin A., "Problem of combinatorial computation of rational Pontryagin classes". Doctor of science thesis (profound scientific research work required for attaining higher academic positions or professorships in the former Soviet Union). Full text (341 pages, in Russian). To be defended in Steklov Mathematical Institute (Moscow) on 23 December 2010.
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Gaifullin A., "Configuration spaces, bistellar moves, and combinatorial formulae for the first Pontryagin class", Proc. Stekl. Inst. Math., 268 (2010), 70-86 http://mi.mathnet.ru/tm2869
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2009 |
Gaifullin A., "A minimal triangulation of complex projective plane admitting a chess colouring of four-dimensional simplices", Proc. Stekl. Math. Inst. 266:1 (2009), 29-48 http://mi.mathnet.ru/tm1871
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2008 |
Gaifullin A., "Combinatorial realisation of cycles" (in Russian). Candidate of science thesis (Ph.D. equivalent in the former Soviet Union). Advisor: V.M. Buchstaber. Summary (12 pages). Defended in Moscow State University 6 June 2008.
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Gaifullin A., "Combinatorial realisation of cycles" (in Russian). Candidate of science thesis (Ph.D. equivalent in the former Soviet Union). Full text (121 pages). Advisor: V.M. Buchstaber. Defended in Moscow State University 6 June 2008.
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Gaifullin A., "Realisation of cycles by aspherical manifolds", RUSS MATH SURV, 2008, 63 (3), 562–564 http://mi.mathnet.ru/umn9198
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Gaifullin A., "The manifold of isospectral symmetric tridiagonal matrices and realization of cycles by aspherical manifolds", Proc. Steklov Inst. Math. 263 (2008), 38-56 http://mi.mathnet.ru/tm782
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Gaifullin A., "The construction of combinatorial manifolds with prescribed sets of links of vertices", Izvestiya: Mathematics, 2008, 72:5, 845–899 http://mi.mathnet.ru/izv2681
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2007 |
Gaifullin A., Yagodovskii P.V., "Integrability of m-valued dynamics by means of singly generated m-valued groups", Russ. Math. Surv., 2007, 62 (1), 181–183. http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=rm&paperid=5586&option_lang=rus
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Gaifullin A., "Explicit construction of manifolds realising prescribed homology classes", Russ. Math. Surv., 2007, 62 (6), 1199–1201. http://mi.mathnet.ru/umn8537
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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
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2005 |
Gaifullin A., "Computation of characteristic classes of a manifold from a triangulation of it", Russ. Math. Surv., 2005, 60 (4), 615–644. http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=rm&paperid=1444&option_lang=rus
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2004 |
Gaifullin A., "On local formulae for combinatorial Pontryagin classes of manifolds", Russ. Math. Surv., 2004, 59 (2), 379–380. http://mi.mathnet.ru/umn726
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Gaifullin A., "Local formulae for combinatorial Pontryagin classes", Izvestiya: Mathematics, 2004, 68 (5), 861–910. http://mi.mathnet.ru/izv502
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2003 |
Gaifullin A., "On isotopic weavings", Arch. Math. 81:5 (2003) 596–600
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Gaifullin A., "Nerves of Coxeter groups", Russ. Math. Surv., 2003, 58 (3), 615–616 http://mi.mathnet.ru/umn633
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