Friedlander E.M. (ed.), Grayson D.R. (ed.) — Handbook of K-Theory :: Электронная библиотека попечительского совета мехмата МГУ

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Friedlander E.M. (ed.), Grayson D.R. (ed.) — Handbook of K-Theory

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Handbook of K-Theory

Авторы: Friedlander E.M. (ed.), Grayson D.R. (ed.)

Аннотация:

This handbook offers a compilation of techniques and results in K-theory.

These two volumes consist of chapters, each of which is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. The overall intent of this handbook is to offer the interested reader an exposition of our current state of knowledge as well as an implicit blueprint for future research. This handbook should be especially useful for students wishing to obtain an overview of K-theory and for mathematicians interested in pursuing challenges in this rapidly expanding field.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 556

Добавлена в каталог: 30.06.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Mixed Tate motives, triangluated category of vanishing conjectures      491
Mixed Tate motives, triangluated category of weight filtration      490
Mixed Tate motives, Voevodsky      501
Model categories      1015—1017
Modules over a cdga      496
Modules over a cdga, cell-modules      496
Modules over a cdga, derived category of      497
Modules over a cdga, structural results      499
Modules over a cdga, t-structure      498
Modules over a cdga, weight filtration      498
Moduli space of manifold structures      613
Moore’s Theorem      163
Morphic cohomology      897 898
Motive of a scheme      1090
Motives, effective geometric      484
Motives, geometric      484
Motives, mixed      453 456
Motives, mixed by compatible realizations      458—461
Motives, mixed by Tannakian formalism      462
Motives, mixed, Nori’s construction      462 468
Motives, triangulated categories of      469
Motives, triangulated categories of comparison results      488
Motives, triangulated categories of constructions      473
Motives, triangulated categories of duality in      472
Motives, triangulated categories of Hanamura’s construction      475
Motives, triangulated categories of Huber’s construction      474
Motives, triangulated categories of Levine’s construction      478
Motives, triangulated categories of structure of      470
Motives, triangulated categories of Voevodsky’s construction      483
Motivic cdga      493
Motivic cohomology      195 1094
Motivic complex      1093
Motivic complexes      433
Motivic Galois group      458
Motivic Lie algebra      493
Motivic spectral sequence      40 142 908
Motivic spectral sequence for fields      126
Moving Lemma      60 65
Moving lemma, Chow’s      250
Multi-relative K-theory      60
Multicategory      13
Multiple polylogarithms on curves      342
Multiplier algebra      857
Negative homotopy groups of pseudoisotopies      719
Negative K-theory      120
Neutral symmetric space      559
Nil-groups      105 716
Nisnevich sheaf      485
Nisnevich sheaf with transfer      485
Nisnevich topology      1086 1126
Norm fibration sequence      625
Normal cone, deformation to the      288
normalizer      816
Novikov conjecture      26 673 733
Novikov Conjecture for K and L-theory      732
Obstruction theory      580 586
Octahedra      1039
Operad      10
Operations, Landweber — Novikov      1138
Operations, motivic Steenrod      1131
Operator, determinant-class      848
Operator, essentially normal      847
Operator, trace-class      848 860
Operatorial homotopy      863
Orbit category      740
Orbit category, restricted      799
Orthogonal of a subobject      543
Orthogonal sum      542
P      686
p-chain      823
P-exact category      15
Periodic cyclic homology      688
Periodicity isomorphisms      143
Permutative category      10
Pfister neighbor      1120
Pfister quadric      1120
Pfisterform      1120
Pic-regularity      865
Picard group      143 182 183
Picard group of a curve      160
Picard group, narrow      174
Plus construction      208 582 597 598
Poincare Complexes      621
Poincare conjecture      711
Pointed monoid      81
Pointed monoid, algebra      81
Polylogarithmic motivic complexes      325
Polylogarithms on curves      341
Pontrjagin class      583
Presheaf with transfers      1088
Presheaves with transfer      485
Primes over l      977
Principal orbit      592
Principle separation of variables      715 819
Pro-abelian group      73
PRODUCT      662 683
Projective bundle formula      201 206
Projective L-Groups      619
Projective systems of C*-algebras      668
Propagation of group actions      595
Proper, G-C*-algebra      805
Proper, G-space      802
Proper, metric space      777
Properties of the finiteness obstruction      712
Pseudo-equivalence      974
Pseudo-isomorphism      961
Pseudo-isotopy      599
Pseudoisotopy      717
Purely infinite      677
Q-construction      11 208
qfh topology      1085
Quadratic chain complexes      635
Quasi-small object      968
Quasi-trivial torus      944
Quillen Conjecture      357
Quillen — Lichtenbaum Conjecture      917
Quillen — Lichtenbaum Conjecture, semi-topological      917
Ranicki periodicity      636
Rational $K_0(\mathbb{Z}G)$ -to- $K_0(\mathbb{Z}G)$ -Conjecture      754
Rational computation of Algebraic K-Theory for Infinite Groups      818 819
Rational computation of Topological K-Theory for Infinite Groups      817
Rational contribution of finite subgroups toWh(G)      784
Rational equivalence      246
Rational injectivity of the Baum — Connes Assembly Map      776
Rational injectivity of the Classical K-Theoretic Assembly Map      783
Rational injectivity of the Farrell — Jones Assembly Map for Connective K-Theory      783
Real algebraic equivalence      892
Real space      892
Real vector bundle      893
Realization functor      456
realizations      510
Realizations, Bloch — Kriz      514
Realizations, Huber’s method      513
Realizations, via cycle classes      510 512
Recognition principle      890
Refined cycle map      912
Regions in $\mathbb{Z}\times\mathbb{Z}$       1023—1025
Regions in $\mathbb{Z}\times\mathbb{Z}$ , cosimplicial      1024—1025 1068
Regular prime      144 181 182
Regular section      243
Regulators      506
Reidemeister torsion      589
Reidemeister torsion, higher      602
Relative assembly map      741
Relative K-theory      72
Representation ring      813
Residue homomorphism      327
Resolution of singularities      867 1086
Riemann — Roch theorem      40
Rigid tensor category      455

Rigidity theorem      1088
Ring with involution      797
Ring, integral domain      728
Ring, Noetherian      708
Ring, regular      708
Rips complex      30
Rost motive      1140
Rothenberg sequence      614 620 632 720
s operation      905
s-cobordism      583 588
s-cobordism theorem      588 624 711
s-cobordism theorem, controlled      592
s-cobordism theorem, equivariant      595
s-cobordism theorem, proper      593
s-cobordism theorem, stratified      596
S.-construction of Waldhausen      209 270
Saturation axiom      20
Schatten ideals      860
Segre class, total      901
Semi-discrete module      962
Semi-discrete prime      962 975 988
Semi-s-cobordism      583
Semi-topological K-theory, groups      884
Semi-topological K-theory, real      891 892
Semi-topological K-theory, singular      888
Semi-topological K-theory, space      884
Semi-topological spectral sequence      908—909
Seminormal      865
Serre/Swan theorem      115
Sesquilinear forms      617
Shaneson product formula      614 620 633 637
Shaneson-splitting      722
Sheaves with transfer      485
Shift equivalence      603
Shift equivalence problem      603
Shift equivalencestrong      603
Shift, one-sided      602
Shift, two-sided      602
Sign map      174
Signature      732
Signature defect      174
Signature, higher      732
Singular semi-topological functor      890
Singular set      592
Slice filtration      64
Slope spectral sequence      205
Small object      967
Smash product      794
Smash product of a space with a spectrum      794
Soule conjecture      391
Soule’s theorem      990 996
Space, C-space      795
Space, compactly generated      578
Space, finitely dominated      579
Space, finitely dominated, epsilon      592
Space, Smith acyclic      594
Space, stratified      592 595
Space, stratified, Browder — Quinn      595—597
Specialization homomorphism      252
Spectra      1055—1057
Spectral sequence, associated to filtered spectrum      268
Spectral sequence, Atiyah — Hirzebruch      270 355
Spectral sequence, Bloch — Lichtenbaum et al.      360
Spectral sequence, Brown and Coniveau compared      275 277
Spectral sequence, Brown, multiplicativity of      275
Spectral sequence, equivariant Atiyah — Hirzebruch spectral sequence      823
Spectral sequence, motivic      142 143
Spectral sequence, p-chain spectral sequence      823
Spectral sequence, Quillen      272
Spectral sequence, Quillen and Coniveau compared      274
Spectrum      794
Spectrum, algebraic cobordism      1135
Spectrum, homotopy groups of a spectrum      794
Spectrum, map of spectra      794
Spectrum, motivic      63
Spectrum, motivic Eilenberg—Mac Lane      1129
Spectrum, motivic Thom      1135
Spectrum, structure maps of a spectrum      794
Spherical space form problem      580
Spivak fibration      621
Split metabolic      545
Splitting variety      1119
Stable homotopy groups      112
Stacks, intersection theory on      287
Standard conjecture      368
Sublagrangian      544
Sublagrangian, sublagrangian construction      559
Sublagrangian, sublagrangian reduction      548
Subshift of finite type      602
Surgery exact sequence      638
Surgery Theorem      622
Surgery theory      620
Suslin complex      446 447 486 1083 1091
Suslin homology      446
Suslin — Wodzicki Theorem      862
Suslin’s Conjecture      916
Suspension      660
Suspension extension      682
Suspension of a ring      120
Swan homomorphism      594
Symbolic dynamics      602
Symmetric complexes      634
Symmetric form or space      541
Symmetric monoidal category      9
Symmetric ring spectrum      74
Symmetric signature      635
Syntomic complex      207
T-spectra      1128
t-structures      1049—1050
Tame kernel      144
Tame symbol      144
Tannakian category      455
Tate conjecture      396
Tate module      164
Tate motive      1092
Tate primes      963
Tate primes, extended      963
Tate spectrum      626
Tate twist      963
Tate — Beilinson conjecture      400
Tensor algebra      680
Tensor product of pointed C-space with a C-spectrum      795
Thick subcategory      972 975
Thom isomorphism in K-theory      122
Toeplitz algebra      845 847
Toeplitz extension      682
Toeplitz matrix      844
Toeplitz operator      844
Toeplitz operator, symbol of      844 845
Topological cyclic homology      72 90 94 216 599
Topological filtration, K-theory      920
Topological filtration, singular cohomology      919
Topological Hochschild homology      74 76 88
Topological Hochschild spectrum      77 78
Topological K-theory      114 659
Topological realisation functor      1133
Toric T-variety      938
Total quotient rings, sheaf of      244
Totally real field      993
Trace Conjecture for Torsion Free Groups      728
Trace Conjecture, Modified Trace Conjecture      760
Trace, standard trace of       727
Trace, universal $\mathbb{C}$ -trace      753
Transitivity Principle      742
Transport groupoid      796
Triangles, distinguished      1018 1035—1036
Triangles, virtual      1019—1020
Triangulated categories      669 1017—1018
Truncated polynomial algebra      72 92 94 98 103 106
Twists and dimension shifting      631

1 2 3 4

О проекте