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Null
section, 316 |
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Null
vector, 205, 236 |
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Odd
bundle, 411 |
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One-form,
146 |
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One-parameter
group of |
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transformations,
152 |
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One-parameter
subgroup, 173–5 |
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One-point
compactification, 52 |
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One-to-one.
36 |
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Onto,
36 |
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Open
set, 48 |
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Orbifold,
300–2 |
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Orbit,
180 |
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Order,
of differential operator, 407 |
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Order
parameter, 19–26 |
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space,
121 |
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Orientable,
39, 165, 283 |
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first
Stiefel–Whitney class, 404 |
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Orientation,
164 |
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Orthogonal
complement, 44 |
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Orthogonal
group, 168 |
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Orthonormal
frame, 352 |
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Palatini
identity, 258 |
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Paracompact,
166 |
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Parallel
transport, 207–11 |
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principal
bundle, 338 |
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Parallelisable,
220 |
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Partition
of unity, 166 |
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Path,
90 |
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constant,
90 |
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inverse,
90 |
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product,
90 |
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Path
integral, 1–10 |
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Pauli–Villars
regularisation, 457 |
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Period,
194 |
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Pfaffian,
394 |
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Poincaré–Alexander
theorem, 57 |
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Poincaré
duality, 198 |
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Poincaré
metric, 226, 486 |
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Poincaré
transformation, 262 |
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Poincaré's
lemma, 196–7, 362, 397 |
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Polarisation,
375 |
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Polyakov
action, 32, 261–3 |
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Polyhedron,
56, 58 |
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regular,
60 |
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Pontrjagin
class, 390–3 |
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Presentation,
104 |
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Principal
bundle, 318–20, 327, 329 |
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Product
bundle, 317 |
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Product
manifold, 139 |
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Projection,
303, 305 |
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Projective
plane, 25, 40, 182 |
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fundamental
group, 111 |
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homology
group, 80 |
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Projective
space |
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complex,
271, 289, 405 |
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real,
137–8 |
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Pseudo-Riemannian
manifold, 206 |
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Pseudo-Riemannian
metric, 204 |
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Pseudoparticle,
360 |
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PSL(2,
Z)
*, 267–70 |
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Pullback,
45, 328 |
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de
Rham cohomology group, 201 |
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linear
function, 45 |
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one-form,
148 |
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Pullback
bundle, 310–12 |
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Pure
gauge, 345 |
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Quadratic
differential, 484, 488 |
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Quantum
field theory, 1–10 |
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Quaternion,
1, 220–1 |
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Quotient
group, 42 |
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Quotient
space, 38 |
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Range,
35 |
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Rank,
64–5 |
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Real
vector, 274 |
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Relation
(set theory), 38 |
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Relation
(group theory), 103 |
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Representative,
38 |
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Retract,
97 |
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Retraction,
97 |
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Ricci-flat,
291 |
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Ricci
form, 286 |
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Ricci
rotation coefficient, 247 |
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|
Ricci
tensor, 27, 221 |
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|
Riemann
curvature tensor, 27, 215–18 |
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Hermitian
manifold, 285–6 |
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|
Riemann–Roch
theorem, 466–8, 484 |
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|
Riemann
sphere, 266 |
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|
Riemann
surface, 289, 405 |
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|
Riemann
tensor, 215 |
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