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Kohno T. — Conformal Field Theory and Topology
Kohno T. — Conformal Field Theory and Topology

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Название: Conformal Field Theory and Topology

Автор: Kohno T.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 184

Добавлена в каталог: 12.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Action integral      1
Admissible labelling      51 85
Affine Lie algebra      18
Affine Lie algebra, of type $A_1^{(1)}$      23
Algebraic constraint      46
Anti-symmetry      15 155
Arnold relations      77
Asymptotic, expansion      143
Asymptotic, region      83
Birkhoff theorem      40
Blackboard framing      91
Borel — Weil theory      6
Bosonic field      152
Braid group      76
Cabling      98
Cancellation of two critical points      94
Cartan — Killing form      24
Casimir element      24 77
Central charge      28
Central extension, of a loop algebra      18
Central extension, of a loop group      35
Central extension, of Laurent polynomial vector fields      20
Character of an affine Lie algebra      70
Chen's iterated integral      130
Chern — Simons, functional      11 121
Chern, class      4 20
Chern, form      4 20
Chiral vertex operator      62
Chord diagram      128
Chord diagram, on a surface      161
Classical field theory      7
Clebsch — Gordan quantum      49
Clebsch — Gordan rule      25
Cobordism      110
Cochain group      15
Cocycle, 2-cocycle condition      15
Cocycle, 2-cocycle for a loop algebra      17
Cocycle, 2-cocycle for Laurent polynomial vector fields      19
Cohomology, of Lie algebras      16
Coinvariant tensors      45
Complex line bundle      3 20
Complex line bundle, over the loop group      22 33
Configuration space      52 75
Conformal, block bundle      56
Conformal, invariance      59
Conformal, weight      29
Connection      3
Connection, matrix      83
Connection, on a complex line bundle      20
Contour integral      66
Conway polynomial      136 160
Covariant derivative      3 143
Curvature      79 121
Cut system      112
Dehn, surgery      104
Dehn, twist      113
Derivation      2
descendent      62
Diagonal action      43
Differential      16
Dilatation      60 68
Dilogarithm      137
Discriminant set      127
Drinfel'd associator      84 139
Dual line bundle      34
Dual representation      25 27
Elementary, connection matrix      86
Elementary, fusing operation      86
Elementary, tangle      91
Energy      29
Energy momentum tensor      64
Euler operator      60
Euler — Lagrange equation      1
External edge      51
Fermionic field      152
Feynman diagram      151
Feynman's path integral      8 42
Field      7
First Chern class      4 20
First Chern form      4 20
Flat connection      55
Four term relation      130
Framing      91 95
Framing, blackboard      91
Framing, independence      130
Fuchsian differential equation      84
Fundamental line bundle      23 33
Fusion, algebra      71 98
Fusion, rule      49
Gauge, fixing      152
Gauge, group      10 36 121
Gauge, invariance      62
Gauss formula for linking numbers      149
Gauss integral      143
Gluing axiom      9
Grassmann variables      152
Gravitational Chern — Simons invariant      153
Green form      149 153
Group of diffeomorphisms      18
Group of diffeomorphisms, of the unit circle      18
Hamiltonian      2 3
Hamiltonian, vector field      2
Handlebouy      116
Harmonic map      7
Heegaard splitting      117
Heisenberg equation      4
Highest weight, representation      24
Highest weight, representation with level fc      26
Highest weight, vector      24 26
Holonomy, of a complex line bundle      21
Holonomy, of the KZ connection      80
Hopf link      106
Horizontal section, of a complex line bundle      21
Horizontal section, of a conformal block bundle      57 58
Integrable, highest weight module      27
Integrable, subbundle      6
Isolated chord      129
Iwahori — Hecke algebra      88
Iwahori — Hecke algebra, representation      89
Jacobi identity      2 15 155
Jones polynomial      97
Jones polynomial, two variable      136
Kahler polarization      6 125
Kirby moves      105
Knizhnik — Zamolodchikov (KZ), connection      58 79
Knizhnik — Zamolodchikov (KZ), equation      58 78
Knot      90
Kontsevich integral      133
Labelled tree      50
Lagrangian      1
Lagrangian, subbundle      6
Laplace operator      146
Laurent, polynomial      18
Level      26 29 43
Lickorish generators      114
Lie algebras, of loop groups      22
Lie algebras, of vector fields      2
Link      90
Link, colored      94
Linking number      91
Local horizontal moves      93 134
Logarithmic differential form      76
Loop algebra      14
Loop group      14
Mapping class group      90 112
Mapping torus      111
Marsden-Weinstein quotient      124
Matrix integral      162
Maurer-Cartan form      22
Mirror image      100
Mobius transformation      59
Modular transformation S matrix      71
Moduli space, of flat connections      124 161
Moduli space, surfaces      163
Moment map      124
Monodromy representation      80 87
Monodromy representation, universal expression of      132
Morse function      118
Multiple zeta value      137
Multiplicativity      9
Multiplicity of a representation      26
Newton's equation      1
Null vector      27
Operator product expansion (OPE)      64 65
Order m invariants      128
Order m invariants, for the pure braid group      134
Orientation axiom      9
Parallel translation      59
Partition function      8 42
Pentagon relation      86
Picard's iteration      131
Poisson, bracket      2
Polarization      6
Polarization, Kahler      6
Polyakov — Wiegmann formula      31
Polylogarithm      137
Primary, field      62 63
Primary, section      39
Projectively linear representation      115
Projectively linear representation, of the mapping class group      115
Pure braid group      75
Quantization      5
Quantization, canonical      6
Quantum, Clebsch — Gordan rule      49
Quantum, Hilbert space      9
Quantum, mechanics      4
Ray — Singer torsion      146
Real monoidal transformation      154
Regular singularities      84
Regularized determinant      146
Reidemeister torsion      147
Representations, of affme Lie algebras      26 38
Representations, of braid groups      80
Representations, of Lie algebras      23
Representations, of mapping class groups      110
Representations, of sfe(C)      24
Representations, of the gauge group      38
Ribbon graph      162
Riemann sphere      42
Schwarzian derivative      67
Secondary field      62
Sigma model      7
Signature of a link      105
Singular knots      128
Skein relation      95
Space of conformal blocks      44
Space of conformal blocks, dimension of      71 73
Space of conformal blocks, for a torus      69
Space of connections      121
Special conformal transformation      60
Spectral zeta function      146
Spin j representation      24
Stably equivalent      118
Stationary phase method      144
Sugawara operator      28
Symplectic, form      2
Symplectic, manifold      2
Tangle      101
Tangle, operator      102
Tensor product, of representations of a Lie algebra      25
Topological quantum field theory      110
Trefoil knot      101
Truncated polynomial ring      71
Universal enveloping algebra      24
Upper half plane      68
Vassiliev invariant      128
Vassiliev invariant, of order m      128
Verlinde, algebra      71
Verlinde, basis      70
Verlinde, formula      71
Verma module      24 27
Vertex operator      62
Virasoro Lie algebra      20 29
Volume form of SU(2)      29 122
Weight system      129 135
Wess — Zumino — Witten, action      29
Wess — Zumino — Witten, model      29
Wess — Zumino — Witten, term      30 123
Wilson line operator      125
Witten's invariant      108
Writhe      97
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