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		Covariant derivative (cont.)

		Hermitian geometry, 284–5

		principal bundle, 340–1

		Riemannian geometry, 208, 211–12

		Covering, 51

		open, 51

		Covering group, 117

		Covering space, 117

		Critical dimension, 480

		Critical temperature, 20

		Cross cap, 88

		Cross section, 305, 307

		Curvature two-form

		principal bundle, 341, 344

		Riemannian geometry, 245

		Curve, 142

		Cusp form, 491

		Cycle, 73, 189

		group, 73, 189

		Cyclic group, 38, 64–6

		finite, 64

		infinite, 64

		D

		¶-closed *, 292

		¶-cohomology* group, 281, 292–6

		¶-exact*, 293

		¶-harmonic*, 294

		¶-operator*, 280, 293

		adjoint, 293

		de Rham cohomology group, 162, 191–3, 256–7, 362, 373–4

		de Rham complex, 162, 196, 411, 413–14

		de Rham's theorem, 194

		Dedekind h-function, 490

		Defect, 122

		line, 123–4

		point, 124

		ring, 125

		surface, 122

		Deformation retract, 97

		Degree, 100

		Dehn twist, 271, 470

		Derrick's theorem, 34

		Descent equation, 449

		Diffeomorphic, 141

		Diffeomorphism, 141, 469

		Differentiable, 140

		structure, 134

		Differential form, 158–60

		Differential map, 147

		Dilatation vector, 243

		Dimension, 43

		Dimensional ladder, 458

		Dirac genus, 396, 423

		Dirac matrix, 244, 420

		Dirac operator, 422

		Dirac string, 15

		Director, 25

		Disconnected, 52

		Discriminant, 491

		Disgyration, 126

		Dolbeault complex, 281, 415

		twisted, 416

		Dolbeault operator, 280

		Domain, 35

		Domain wall, 122

		Dual basis, 44

		Dual bundle, 316

		Dual field tensor, 13

		Dual vector, 45, 146

		Dual vector space, 44, 145

		Duality transformation, 250–2

		E

		h-invariant, 429–30, 458

		Edge group, 105

		Edge loop, 104

		Edge path, 104

		Effective action, 7

		Ehresmann connection, 332, 446

		Einstein equation, 28, 259

		Einstein–Hilbert action, 257–9

		Einstein summation convention, 1

		Einstein tensor, 28, 231, 259

		Eisenstein series, 490

		Elliptic complex, 410–11

		Elliptic operator, 407–8

		Embedding, 149, 262

		Energy–momentum tensor, 28, 259

		Equivalence class, 38

		Equivalence relation, 38

		Equivalent bundle, 306, 310, 312

		Euclidean metric, 205

		Euler characteristic, 56–9, 86, 195, 198, 203, 257, 393, 411, 468