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| Atiyah M.F. — The Geometry and Physics of Knots |
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| Предметный указатель |
 -functions 19—23 51 70
'Multiplicity spaces' 42 44
'Virasora algebra' 47
Abelianization 47—50 51
Alexander polynomial 6 7 11
Bohm — Aharonov effect 4—5 7
Boundary components 42—44
Braids 8—9
Bundles, holomorphic, moduli spaces of 26—29
Bundles, holomorphic, stability of 27 29 48
Chern — Simons Lagrangian 52—55 62 63 64 66 71
Curves, degeneration of 50—51
Donaldson — Floer theory 1
Electromagnetism 2
Feynman integrals 3—4 14 67
Feynman path-integral approach 52—65 see
Feynman path-integral approach and Hamiltonian formulation 63—65
Feynman path-integral approach, stationary-phase approximations 55—63
Field theory, conformal 46—47 51
Flatness, projective 45—51
Framings 17 63
Gauge theories 2—5
Gauge theories on a circle 42—43
Gauge transformations 37 53 57
Geometry, projective 30
Hecke algebra 9 10
Heisenberg commutation relations 18 19
Higgs bundles 48 50
Hilbert spaces, quantum 34 35
Hitchin's moduli space 50
Homotopy invariance 13
Integer lattice 19
Invariant theory, geometric 30—31
Jacobians 20 21
Jones polynomials 7—11 46 67—68 70
Kaehler metrics 32 33
Kelvin's theory of vortex atoms 5—6
Knot, definition of 5
Lie groups, disconnected 72
Line-bundles 31 33 48 49
Line-bundles, holomorphic 18 20 28 34 38
Line-bundles, Quillen 38—39 65
Links, definition of 5
Links, oriented 8 9 15
Loop groups 43 47 65 69
Manifolds, symplectic 17 31 66
Manifolds, symplectic, homogeneous 36 46
Manifolds, symplectic, quantization of 33—35
Moment maps 31 36 37 40
| Momentum, angular 31
Narasimhan — Seshadri theorem 27 39 40
Orbifolds 72
Orbits, co-adjoint 35—36 43
Orbits, volumes of 58
Phase ambiguity 65
Points, irreducible 24
Points, marked 40—42 44 46 50 70
Points, poles 42 50 51 60
Points, semi-stable 31
Points, stable 31
Quantization of quotient torus 20—22
Quantization of symplectic manifolds 33—35
Quantization, canonical 17—19
Quantum field theories 1 11
Quantum field theories, topological 12—23
Quantum field theories, topological, axioms for 12-17
Quotients 30—31
Quotients, complex 32
Quotients, Mumford 33 34
Quotients, symplectic 31—33 35—36 45 64 67
Quotients, symplectic, infinite-dimensional case of 37—44
Ray — Singer torsion 61
Reidemeister torsion 61 71
Representations 24—26 42 44 47 48 50
Riemann surfaces with boundary 42—44 47
Riemann surfaces, connections on 37—40
Skein relations 8 10 67—69
Spaces, symplectic 37
Spaces, symplectic, quantization of 40 42
Stability 27 29 48
Stationary-phase approximations 55—63 67 71
Surgery methods 69—70 71
Tait's conjectures 6 7
Teichmueller space 19 28 45 50 65
Theta-divisor 20
Torus, Hilbert space of 69—70
Torus, quotient 20—22
Vacuum vectors 23 66—67
Vector bundles, holomorphic 20
Verlinde algebra 51 70
Weyl group 48 50
Wilson line 54
Witten axioms 70
Witten functor 17
Witten invariants 68 69 71
Yang — Baxter equations 10
Yang — Mills theory 1 3
Young diagrams 10
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