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681. http://higeom.math.msu.su/people/taras/TTC/slides/grbic.pdf
... Toric topology-main definitions and constructions S IMPLICIAL COMPLEXES V = {v1 , . ... s : i V } ( K ) ґ abstract simplicial complex closed under formation of subsets K ґ simplex S TA N L E Y dim(K ) = d if d + 1 for all K -R E I S N E R FAC E R I N G R ґ commutative ring with unit; deg(vi) = 2 ґ topological grading R[V ] = R[v1 , . ... complexes on [n] arrangements in Cn 3 CONNECTION BETWEEN ZK AND U(K ) Theorem (BuchstaberґPanov). ... DISJOINT UNION OF SIMPLICIAL COMPLEXES Let K1 Ft and K2 Fs . ...
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Ссылки http://higeom.math.msu.su/people/taras/TTC/slides/grbic.pdf -- 115.6 Кб -- 19.05.2006
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682. http://higeom.math.msu.su/people/taras/TTC/slides/weitsman.pdf
The Ehrhart function for symbols and a generalization of Euler's constant. ... Simple and non-simple polytopes. Simple Non-simple Some references for the exact Euler-MacLaurin formula in higher dimensions. Regular polytopes. ... The KhovanskiiPukhlikov formula, 1. The KhovanskiiPukhlikov formula, 2, moving the facets. The KhovanskiiPukhlikov formula,3, the Todd operator. ... The Ehrhart formula. ... The polar decomposition theorem. ... The Euler-MacLaurin formula with remainder. ...
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Ссылки http://higeom.math.msu.su/people/taras/TTC/slides/weitsman.pdf -- 1251.6 Кб -- 03.02.2006
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683. http://higeom.math.msu.su/people/taras/mypapers/umn-s00e.pdf
MOMENT-ANGLE COMPLEXES AND COMBINATORICS OF SIMPLICIAL MANIFOLDS VICTOR M. BUCHSTABER AND TARAS E. PANOV Let : (D2 )m I m be the orbit map for the diagonal action of torus T m on the unit poly-disk (D2 )m Cm . ... Let K n-1 be an (n - 1)-dimensional simplicial complex with m vertices, and |K | ... Consider the cellular decomposition of the poly-disk (D2 )m that is obtained by subdividing each factor D2 into 0-dimensional cell 1, 1-dimensional cell T , and 2-dimensional cell D, see Fig. a). ...
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Ссылки http://higeom.math.msu.su/people/taras/mypapers/umn-s00e.pdf -- 141.8 Кб -- 14.01.2006
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684. http://higeom.math.msu.su/people/taras/mypapers/aarhus98.pdf
Contemp orary Mathematics Torus Actions Determined by Simple Polytop es Victor M. Buchstaber and Taras E. Panov Abstract. ... For each smooth pro jective toric variety M 2n defined by a simple polytope P n with the given lattice of faces there exists a subgroup T m-n T m acting freely on ZP such that ZP /T m-n = M 2n . We calculate the cohomology ring of ZP and show that it is isomorphic to the cohomology of the Stanley-Reisner ring of P n regarded as a module over the polynomial ring. ...
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Ссылки http://higeom.math.msu.su/people/taras/mypapers/aarhus98.pdf -- 255.2 Кб -- 14.01.2006
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685. http://higeom.math.msu.su/people/taras/mypapers/rokhlin80ru.pdf
... vI = {vi1 , . vik } (k - 1)- K (A) , (m - k )- LI Cm , zi1 = . ... U (K ) Tork[v1 ,...,vm ] k(K ), k k(K ). k(K ) [u1 , . ... 2], [3], [9]), , M , M U (K ) (C )m-n ( K , ). ... ik } B TIk = B Tik ,...,ik B T m , B T k . ... dim K = 0. ... 1 k m m-1 , m k k ( ui1 · · · uik ). deg(vi1 ui2 ui3 · · · uik ) = k + 1, dim H 0 U (K ) = 1, dim H dim H k+1 k+1 H 1 U (K ) = H 2 U (K ) = 0, m-1 k -1 U (K ) = m U (K ) = 0, - m k , 2 k m, k > m. . ... 225 (1999), 96-131; http://xxx.lanl.gov/abs/math.AT/9909166. ...
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Ссылки http://higeom.math.msu.su/people/taras/mypapers/rokhlin80ru.pdf -- 592.2 Кб -- 14.01.2006
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686. http://higeom.math.msu.su/people/taras/mypapers/umn-s99e.pdf
COMBINATORIAL FORMULAE FOR THE y -GENUS OF A MULTIORIENTED QUASITORIC MANIFOLD T. E. PANOV In [1] the authors introduced the class of smooth manifolds with a compact torus action whose orbit space carries combinatorial structure of a simple polytope. ... The following theorem from [3] shows that a multioriented quasitoric manifold can be invested with a canonical stably complex structure. Theorem 1. ... Let M 2n be a multioriented quasitoric manifold, and let be a vector described in Theorem 4. ...
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Ссылки http://higeom.math.msu.su/people/taras/mypapers/umn-s99e.pdf -- 130.2 Кб -- 14.01.2006
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687. http://higeom.math.msu.su/people/taras/mypapers/novikov60ru.pdf
... k v1 ; : : : ; vm ] ki (k (P )) = dimk Tor?i k v1 ;::: ;vm ] (k (P ); k ) ( { , (. 16]. ). k(P ) ( k| i > 0. ... Tork iv ;::: ;vm ] (k(P ); k), 1 - Tork v ;::: ;vm ] (k(P ); k) 1 k- , ZP ( ., ... ZP , 4.6). ... E 2 1 { (\ , ") - H (B T n )- Tor. (\ ") , ; (deg i = 2). k(P ) | ... R0 k v ;::: ;vm ] k ?! 0 1 1 k v1 ; : : : ; vm ]: 1 k, dimk Ri k v ;::: ;vm ] k = dimk v ;::: ;vm ] Ri : 20 , (11) 1 : dimk Tork v ;::: ;vm ] (k(P ); k) = m?n X i=0 1 (12) dimk v ;::: ;vm ] R?i : (13) 4.2. ... Tor? ...
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Ссылки http://higeom.math.msu.su/people/taras/mypapers/novikov60ru.pdf -- 434.4 Кб -- 14.01.2006
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688. http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/Trudy/Publications/2004/ConspectD1.pdf
Conspectus of the minicourse "Topology of manifolds" for graduated students of Harbin Institute of Technology, A.S.Mishchenko (Moscow) May,16ґJune,15, 2004 Preface This lectures was delivered at May,16 - June, 15 2004 for graduated students of Harbin Institute of Technology. Not all topics from the program was delivered and not all of them was included in the following text. So this conspectus should be considered as a very preliminary version of the minicourse. 1 Programme 1. Initial notions of smooth
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Ссылки http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/Trudy/Publications/2004/ConspectD1.pdf -- 589.6 Кб -- 07.01.2006
[ Текст ] Ссылки http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/UchProcess-2015-16/Literature/CitedPapers/%5B7%5D-Mishchenko-2004.pdf -- 589.6 Кб -- 07.01.2006
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[ Текст ] Ссылки http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/UchProcess-2015-16/Literature/CitedPapers/%5B7%5D-Mishchenko-2004.pdf -- 589.6 Кб -- 07.01.2006
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689. http://higeom.math.msu.su/people/taras/mypapers/izv1eng.pdf
... x/2 -x/2 gA (u) = 2 arcsinh u = ln 2 The corresponding power system is - [u]A = gA 1 ngA (u) = 2 sinh n arcsinh(u/2) n = ^ Thus, for the A-genus, fA (w) = 2 sinh(w/2), u + 2 u2 1+ 4 n - u + 2 u2 1+ 4 -n . ... Suppose that c1 (M ) 0 mod 2. ... By Proposition 5.3, 1- xk = []1 , where ^ A [ = 2 sinh m arcsinh is the mth power in the formal group law correspond^ ing to the A-genus (see formula (2A )), and = 2 sinh - 2i = -2 sinh i = 2p p e - i/p u]A m u 2 xk - e i/p = -1/2 - 1 /2 = (p+1)/2 - (p-1)/2 . ...
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Ссылки http://higeom.math.msu.su/people/taras/mypapers/izv1eng.pdf -- 312.9 Кб -- 29.12.2005
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690. Poznan - map of the city centre
. If you want to see details please click green rectangles on the map.
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Ссылки http://higeom.math.msu.su/bedlewo2009/poznan.html -- 3.2 Кб -- 11.12.2005
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691. http://higeom.math.msu.su/people/ssmirnov/these.pdf
Циклические q -цепочки Дарбу С. В. Смирнов 2 Оглавление Введение 1 Некоторые непрерывные модели 1.1 1.2 Гармонический осциллятор . . . . . . . . . . . . . . 1.1.1 Формально-алгебраическая теория . . . . . . 1.1.2 Координатное представление . . . . . . . . . Цепочка Дарбу . . . . . . . . . . . . . . . . . . . . . 1.2.1 Спектральные свойства . . . . . . . . . . . . 1.2.2 Одевающая цепочка ВеселоваШабата . . . . 1.2.3 Цепочка длины 2 . . . . . . . . . . . . . . . . 1.2.4 Одевающая цепочка и уравнения Пенлеве .
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Ссылки http://higeom.math.msu.su/people/ssmirnov/these.pdf -- 673.3 Кб -- 03.11.2005
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692. http://higeom.math.msu.su/people/taras/mypapers/bp-book.pdf
Torus actions and their applications in topology and combinatorics Victor M. Buchstab er Taras E. Panov Author address: Department of Mathematics and Mechanics, Moscow State University, 119899 Moscow RUSSIA E-mail address : buchstab@mech.math.msu.su Department of Mathematics and Mechanics, Moscow State University, 119899 Moscow RUSSIA E-mail address : tpanov@mech.math.msu.su 1991 Mathematics Subject Classi cation. 52B70, 57Q15, 57R19, 14M25, 52B05, 13F55, 52C35. as a bridge connecting combinatorial and
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Ссылки http://higeom.math.msu.su/people/taras/mypapers/bp-book.pdf -- 977.0 Кб -- 17.10.2005
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693. http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/Trudy/Publications/2005/Mishchenko-CEJM-p766-793.pdf
... Keywords: Vector bund le, K-theory, C*-algebras, Fredholm operators, Fredholm representations MSC (2000): 19L, 19K, 19J25, 55N15 1 Intro duction In the second half of the last century, research commenced and developed in what is now called "non-commutative geometry". ... The remarkable fact discovered by Kuiper ([22]) is that the group G(H ) as a topological space is contractible, i.e. the space F (H ) of Fredholm operators is a representative of the classifying space BU for vector bundles. ...
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Ссылки http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/Trudy/Publications/2005/Mishchenko-CEJM-p766-793.pdf -- 354.0 Кб -- 12.10.2005
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694. http://higeom.math.msu.su/people/taras/mypapers/6sppo.pdf
SPACES OF POLYTOPES AND COBORDISM OF TORIC MANIFOLDS VICTOR M BUCHSTABER, TARAS E PANOV, AND NIGEL RAY Abstract. Our aim is to bring the theory of analogous polytopes to bear on the study of omnioriented toric manifolds. ... So the proof proceeds by considering 2nґdimensional omnioriented toric manifolds M1 and M2 , with quotient polytopes P1 and P2 respectively, and constructs a third such manifold M , which is complex cobordant to the connected sum M1 # M2 . ... On simple polytopes. ...
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Ссылки http://higeom.math.msu.su/people/taras/mypapers/6sppo.pdf -- 245.0 Кб -- 06.10.2005
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695. http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/UchProcess-2015-16/Literature/CitedPapers/%5B13%5DHatcher-VB-2003.pdf
Version 2.0, January 2003 Allen Hatcher Copyright c 2003 by Allen Hatcher Paper or electronic copies for noncommercial use may be made freely without explicit permission from the author. All other rights reserved. Table of Contents Introduction .............................. 1 .................... 4 ............ 6 Chapter 1. Vector Bundles 1.1. Basic Definitions and Constructions Associated Fiber Bundles 15. Sections 7. Direct Sums 9. Inner Products 11. Tensor Products 13. 1.2. Classifying Vector Bundles
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Ссылки http://higeom.math.msu.su/~asmish/Lichnaja-2010/Version2010-11-20/UchProcess-2015-16/Literature/CitedPapers/%5B13%5DHatcher-VB-2003.pdf -- 734.2 Кб -- 31.08.2005
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696. http://higeom.math.msu.su/bedlewo2009/form.txt
REGISTRATION FORM ----------------------------- NAME: SEX: DATE OF BIRTH: NATIONALITY: POSITION: AFFILIATION: E-MAIL ADDRESS: POSTAL ADDRESS: TELEPHONE: FAX: Dates of arrival/departure: Do you need Polish visa ? Do you wish to present a contribution ? Title of your proposed contribution: Abstract (1/2 page in text or tex format):
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Ссылки http://higeom.math.msu.su/bedlewo2009/form.txt -- 1.4 Кб -- 20.06.2005
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697. C*-algebras: Arrival
Bedlewo Conference Center is located near Poznan. ... There will be a bus connection from Poznan train station "Poznan Glowny" to Bedlewo. ... Bus departure at 8:00 pm. (after arrival of the trains from Warszawa at 7:12pm, and from Berlin at 7:42 pm) . ... Getting to Bedlewo on your own is possible: you will have to take a train from Poznan to Mosina, and then 13 kilometers by taxi. ... If you plan to arrive to Warsaw airport you can reach the train station "Warszawa Centralna" by bus No 175. ...
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Ссылки http://higeom.math.msu.su/bedlewo2009/C-algebras%20Arrival.htm -- 5.5 Кб -- 18.06.2005
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698. C*-algebras and elliptic theory
The idea of the conference was conceived with active participation of Prof. A.S. Mishchenko. ... K-theory of C*-algebras, . index theory, . algebras of pseudodifferential operators on singular manifolds, . ... A. Kordyukov, T. Krainer, J. Kubarski, U. Ludwig, G. Lysik, V. M. Manuilov, C.I. Martin, S. T. Melo, A. S. Mishchenko, B. Monthubert, G. Morsella, I. M. Nikonov, C. A. Pantea, A. Pavlov, C. Pintea, A. Pavlov, T. Yu. ... The participation cost is 220 euros. ...
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Ссылки http://higeom.math.msu.su/bedlewo2009/index-calg.html -- 4.1 Кб -- 18.06.2005
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699. C*-algebras: Talks
... Paul Baum (Penn State University) . Dirac Operators and K theory for discrete groups . In this talk the BC (Baum-Connes) conjecture for discrete groups is reformulated using Dirac operators. ... Algebras of functions on stratified spaces . ... A. Connes proved that Hochschild homology of the algebra of smooth functions on a manifold corresponds to the Rham complex and that periodic cyclic homology (of the algebra) corresponds to the de Rham cohomology (of the manifold). ...
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Ссылки http://higeom.math.msu.su/bedlewo2009/C-algebras%20Talks.htm -- 25.5 Кб -- 18.06.2005
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700. http://higeom.math.msu.su/people/dynnikov/papers/dy-umn02.ps
Lambda ########### f : X \Theta X ! ... f \Gamma1 = Ь ffi f ffi Ь , ### Ь(a; b; c; d) = (\Gammaa; b; \Gammac; d). ##############. ##### ############ ##### #########, ### ########### f r (a; b; c; d) = i a + ab + bc; bcd bc + a(1 + b)(1 + d) ; acd a + c + ad ; bc + a(1 + b)(1 + d) c j ; (3) ########## ## f ####### ######## +; \Gamma; max ## \Delta; =; + ##############, ######## ############ ####-- ######## ## R 2 + . ... Quantum groups (Leningrad, 1990), 1--8, Lecture Notes in Math., ... Math. ...
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Ссылки http://higeom.math.msu.su/people/dynnikov/papers/dy-umn02.ps -- 138.0 Кб -- 22.02.2005
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