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361. http://higeom.math.msu.su/course_papers/bur4.pdf
... 1] {J (v )} r L(t) P (t) = (1 - ti ) i=1 1-t 1 . ... El al , h- , aih-1 aih . ... g a0 a1 ...a h+1 aa h+1 = g0 0 g1 1 · · · gh+1 a 5 0 a0 , 0 ah+1 , 0 ai < qi 1 i h. C[x, y ] ([6]). 2 k h + 1 Ck C , Eik-1 , Ck Eik-1 ([4]). g0 , . ... 2 g = aIh a ga . ... Eik . ... Ca Cb h- Ejh , F Eih-1 Ejh Ejh . ... Eih-1 , gh , Eih-1 . ... q q g2 = g11 + ag0 0 . ... 1- q1 -1 g = j =0 j j g1 i,k q i aij k g0 (g11 + ag0 0 )k . ... g j 1 i,k ik aik g0 g2 = 0}, j < q1 , . ... q i i+0 k=s aik g0 (g11 + ag0 0 )k s 1- . ...
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Ссылки http://higeom.math.msu.su/course_papers/bur4.pdf -- 359.7 Кб -- 09.04.2012
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362. http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/UchProcess-2012/Voprosy-2-2012.pdf
... Геометрические конструкции топологических пространств. ... Фундаментальная группа. ... Гомотопические группы. ... Расслоения. ... Теорема о надстройке и гомотопические группы сфер. ... Сингулярные гомологии. ... Классическая теория гомологий и когомологий. ... Спектральная последовательность для локально тривиальных расслоений. ... Когомологии сфер Sn . ... Когомологии групп U(n). ... Структурные группы локально тривиальных расслоений. ... Гомотопическая классификация локально тривиальных расслоений...
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Ссылки http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/UchProcess-2012/Voprosy-2-2012.pdf -- 89.8 Кб -- 09.04.2012
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363. http://higeom.math.msu.su/people/taras/talks/2005beograd-talk.pdf
Spaces of p olytop es, and cob ordisms of toric manifolds Taras Panov Moscow State University joint work with Victor Buchstab er and Nigel Ray 1 1. ... Toric manifolds. A toric manifold (cf. ... In dimensions > 2, every complex cob ordism class contains a toric manifold, necessarily connected, whose stably complex structure is induced by an omniorientation, and is therefore compatible with the action of the torus. ... Tangential structures on toric manifolds, and connected sums of p olytop es. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2005beograd-talk.pdf -- 61.7 Кб -- 08.04.2012
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364. http://higeom.math.msu.su/people/taras/talks/2005canberra-talk.pdf
Mo del categories and homotopy colimits in toric top ology Taras Panov Moscow State University joint work with Nigel Ray 1 1. ... Object of study of "toric top ology": torus actions on manifolds or complexes with a rich combinatorial structure in the orbit quotient. ... Simplicial complexes and face rings. ... vm} (e.g., the dual to the b oundary of a simplicial p olytop e). ... vm] p olynomial algebra on V over R, deg vi = 2. ... K is a flag complex if any of its missing faces has two vertices. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2005canberra-talk.pdf -- 72.3 Кб -- 08.04.2012
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365. http://higeom.math.msu.su/people/taras/talks/2005osaka-talk.pdf
Spaces of p olytop es, and cob ordisms of toric manifolds Taras Panov Moscow State University Osaka City University joint work with Victor Buchstab er and Nigel Ray 1 1. ... In dimensions > 2, every complex cob ordism class contains a toric manifold, necessarily connected, whose stably complex structure is induced by an omniorientation, and is therefore compatible with the action of the torus. ... Then one needs to replace the disjoint union (representing the cob ordism sum) by something connected. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2005osaka-talk.pdf -- 68.1 Кб -- 08.04.2012
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366. http://higeom.math.msu.su/people/taras/talks/2006kyoto-talk.pdf
Top ology of KempfNess sets for algebraic torus actions Taras Panov Moscow State University Osaka City University 1 Abstract. In the theory of algebraic group actions on affine varieties, the concept of a KempfNess set is used to replace the geometric quotient by the quotient with resp ect to a maximal compact subgroup. ... KempfNess sets for affine varieties. ... 15 KempfNess sets Z (P ) admit a very transparent interpretation as complete intersections of real algebraic quadrics. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2006kyoto-talk.pdf -- 92.3 Кб -- 08.04.2012
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367. http://higeom.math.msu.su/people/taras/talks/2007novosibirsk-talk.pdf
Torus Actions and Complex Cob ordism Taras Panov Moscow State University joint with Victor Buchstab er and Nigel Ray , . ... Every complex cob ordism class in dim > 2 contains a quasitoric manifold. ... 2 Complex cob ordism: work with complex manifolds. complex mflds almost complex mflds stably complex mflds Stably complex structure on M is determined by a choice of isomorphism = n- M R where is a complex vector bundle. ... Spaces of p olytop es and cob ordism of quasitoric manifolds. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2007novosibirsk-talk.pdf -- 60.0 Кб -- 08.04.2012
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368. http://higeom.math.msu.su/people/taras/talks/2007moscow-nmu-talk.pdf
Algebraic torus actions, KempfNess sets and real quadrics in Cm Taras Panov Moscow State University International Conference "Transformation Groups" dedicated to the 70-th anniversary of Ernest B. Vinb erg 1722 Decemb er 2007, Moscow 1. ... Cones and fans. ... A cone is called regular (resp. simplicial) if a1, . ... A fan is regular (resp. simplicial) if every cone in is regular (resp. simplicial). A fan = {1, . ... This fan is not complete, but its 1-dimensional cones span NR as a vector space. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2007moscow-nmu-talk.pdf -- 82.5 Кб -- 08.04.2012
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369. http://higeom.math.msu.su/people/taras/talks/2008manchester-talk.pdf
Moment-angle manifolds: recent developments and p ersp ectives Taras Panov Moscow State University International Conference "New Horizons in Toric Top ology" 712 June 2008, Manchester Moment-angle manifolds from simple p olytop es. ... Pro of. ... A q-t manifold M is cohomologically rigid if its homeomorphism typ e is determined by the cohomology ring. ... The pro ofs use a result of Dobrinskaya on decomp osability of a quasitoric manifold over a pro duct of simplices into a tower of fibrations. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2008manchester-talk.pdf -- 96.5 Кб -- 08.04.2012
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370. http://higeom.math.msu.su/people/taras/talks/2009oberwolfach-talk.pdf
Toric KempfNess sets Taras Panov Moscow State University Toric Geometry meeting MFO 4-9 January 2009 1. ... fans in NR complex n-dim toric varieties X non-singular varieties compact varieties 5 regular fans complete fans 4. ... Therefore, if is a simplicial, then all the orbits of the G-action on U () are closed and we have U ()/ G = U ()/G. / However, the corresp onding KempfNess set cannot constructed in the standard way, as U () is not an affine variety in Cm. ... Toric KempfNess sets. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2009oberwolfach-talk.pdf -- 77.9 Кб -- 08.04.2012
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371. http://higeom.math.msu.su/people/taras/talks/2009khabarovsk-talk.pdf
... T m- ZP [BosioMeersseman]. ... ZK T m: ZK 2 - (D)m , cone K - Im K -- ; = {i1, . ... 17 [1] Victor M Buchstab er and Taras E Panov. Torus Actions and Their Applications in Top ology and Combinatorics. University Lecture Series, vol. 24, Amer. Math. ... 2] Victor M. Buchstab er, Taras E. Panov and Nigel Ray. ... J. 7 (2007), no. 2; arXiv:math.AT/0609346. ... Math., vol. ... So c., Providence, R.I., 2008. ... 347, Cambridge, U.K., 2008, pp. 165 201; arXiv:math.AT/0506526. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2009khabarovsk-talk.pdf -- 80.7 Кб -- 08.04.2012
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372. http://higeom.math.msu.su/people/taras/talks/2009warszawa-talk.pdf
From real quadrics to p olytop es via manifolds Taras Panov Moscow State University CAT'09, 611 July 2009, Warszawa 1. ... ZP is called the moment-angle manifold corresp onding to P . ... This is convenient for applications in cob ordism (finding quasitoric representatives in complex cob ordism classes). ... Quasitoric manifolds and cob ordism. ... Every complex cob ordism class in dim > 2 contains a quasitoric manifold. ... Spaces of p olytop es and cob ordism of quasitoric manifolds. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2009warszawa-talk.pdf -- 79.2 Кб -- 08.04.2012
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373. http://higeom.math.msu.su/people/taras/talks/2009moscow-iitp-talk.pdf
... From p olytop es to quadrics. ... This is convenient for applications in cob ordism (finding quasitoric representatives in complex cob ordism classes). ... Get like |z1|2 + . ... Quasitoric manifolds and cob ordism. ... Every complex cob ordism class in dim > 2 contains a quasitoric manifold. The complex cob ordism ring U is multiplicatively generated by the cob ordism classes [Hij ], 0 i j , of Milnor hyp ersurfaces Hij = {(z0 : . ... Spaces of p olytop es and cob ordism of quasitoric manifolds. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2009moscow-iitp-talk.pdf -- 78.7 Кб -- 08.04.2012
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374. http://higeom.math.msu.su/people/taras/talks/2009bratislava-talk.pdf
Torus Actions and Complex Cob ordism Taras Panov Moscow State University joint with Victor Buchstab er and Nigel Ray Bratislava Top ology Symp osium, 711 Septemb er 2009 Thm. Every complex cob ordism class in dim > 2 contains a quasitoric manifold. In other words, every stably complex manifold is cob ordant to a manifold with a nicely b ehaving torus action. ... 12 Equivariant cob ordism and the universal toric genus. ... Spaces of p olytop es and cob ordism of quasitoric manifolds. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2009bratislava-talk.pdf -- 97.9 Кб -- 08.04.2012
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375. http://higeom.math.msu.su/people/taras/talks/2009osaka-talk.pdf
The Universal Toric Genus Taras Panov Moscow State University joint with Victor Buchstab er and Nigel Ray The 36th Symp osium on Transformation Groups, Osaka, 1012 Decemb er 2009 Motivations: non-equivariant cob ordism and torus actions. ... Every complex cob ordism class in dim > 2 contains a quasitoric manifold. In other words, every stably complex manifold is cob ordant to a manifold with a nicely b ehaving torus action. ... Spaces of p olytop es and cob ordism of quasitoric manifolds. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2009osaka-talk.pdf -- 86.0 Кб -- 08.04.2012
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376. http://higeom.math.msu.su/people/taras/talks/2010petrovac-talk.pdf
Complex-analytic structures on moment-angle manifolds Taras Panov joint with Yuri Ustinovsky Moscow State University 2010 1. ... Now we shall lo ok at a wider class of simplicial complexes K: starshap ed spheres, or underlying complexes of complete simplicial fans. ... Manifolds ZK corresp onding to complete regular simplicial fans are total spaces of holomorphic principal bundles over toric varieties with fibre a complex torus, by a generalisation of the construction of Meersseman and Verjovsky. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2010petrovac-talk.pdf -- 85.6 Кб -- 08.04.2012
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377. http://higeom.math.msu.su/people/taras/talks/2010fukuoka-talk.pdf
Complex-analytic structures on moment-angle manifolds Taras Panov joint with Yuri Ustinovsky Moscow State University The 37th Symp osium of Transformation Groups Kyushu University, 2325 Novemb er 2010 1. ... K an (abstract) simplicial complex on the set [m] = {1, . ... Manifolds ZK corresp onding to complete regular simplicial fans are total spaces of holomorphic principal bundles over toric varieties with fibre a complex torus, by a generalisation of the construction of Meersseman and Verjovsky. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2010fukuoka-talk.pdf -- 75.5 Кб -- 08.04.2012
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378. http://higeom.math.msu.su/people/taras/talks/2011manchester-talk.pdf
Geometric structures on moment-angle manifolds Taras Panov Moscow State University based on joint works with Victor Buchstab er, Andrey Mironov, and Yuri Ustinovsky 80th Transp ennine Top ology Triangle meeting Manchester, 14 July 2011 Intersections of quadrics. ... m-n,k )t Rm-n, k = 1, . ... 7 Lagrangian emb eddings and moment-angle manifolds. ... 12 Top ology of Lagrangian submanifolds N . ... Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian emb eddings. ...
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Ссылки http://higeom.math.msu.su/people/taras/talks/2011manchester-talk.pdf -- 75.9 Кб -- 08.04.2012
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379. Abstracts (Russian)
22 марта 2012 . ... Когда множество вложений конечно? . ... Многочлены Сабитова для объемов четырехмерных многогранников . ... В 1996 году И.Х. Сабитов доказал, что объем V любого симплициального многогранника в трехмерном евклидовом пространстве является корнем некоторого многочлена со старшим коэффициентом 1, зависящего от комбинаторного типа многогранника и длин его ребер; в настоящее время такие многочлены называются многочленами Сабитова для многогранников данного комбинаторного типа. ...
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Ссылки http://higeom.math.msu.su/seminars/ngt.html -- 11.7 Кб -- 06.04.2012
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380. http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/UchProcess-2012/Prikladnye-2012-final.pdf
... Псевдодифференциальные операторы (ПДО) на многообразиях. ... Список литературы [1] [2] Векторные расслоения и их приложения, М., Наука (1984). ( http :// lib.mexmat.ru / books / 2238 ) Мищенко А.С., G., Mishchenko A., Vector Bundles and Their Applications, Kluwer Academic Publisher (2000)( http :// lib.mexmat.ru / books /2222). ( http :// lib.mexmat.ru / books / 2238 ) Luke 1 [3] [4] [5] [6] [7] Псевдодифференциальные операторы и спектральная теория, 2005 ( http :// lib.mexmat.ru / ...
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Ссылки http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/UchProcess-2012/Prikladnye-2012-final.pdf -- 75.0 Кб -- 02.04.2012
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