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| Lubke M., Teleman A. — The Kobayashi-Hitchin Correspondence |
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| Предметный указатель |
(semi-)stable holomorphic structure 44
Anti-selfdual connection 133
Anti-selfdual connection, 2-form 220
Associated (1,1)-form 218
Chern form 23
Chern form, connection 26
Complex gauge group 19
Conformal curvature tensor 185
Connection, (1,1)-primitive 136
Connection, anti-selfdual 133
Connection, Hermitian — Einstein 46
Connection, integrable 25
Connection, irreducible 25
Connection, projectively anti-selfdual 135
Connection, projectively selfdual 135
Connection, reducible 25
Connection, unitary 24
Connection, weakly Hermitian — Einstein 46
Continuity method 62
Contraction operator 218
Curvature 22
Deformation complex 120
Degree map 35
Degree of a line bundle 35
Degree of a line bundle of a sheaf 43
Einstein factor 46
Elliptic complex 227
Elliptic complex, differential operator 223
Elliptic Semicontinuity 223
Elliptic Semicontinuity, Regularity 232
Exponential sequence 33
Extended gauge group 142
g-(semi-)stable 44
Gauduchon metric 29
Gauge group 27
Gauge group, complex 19
Gauge group, extended 142
Gauge group, reduced 27
Gauge group, reduced complex 19
Graph method 200
Graph of a vector bundle 202
Green's operator 228
h-unitary connection 24
Harmonic differential form 222
Harmonic differential spaces 227
Hermitian — Einstein connection 46
Hermitian — Einstein connection, metric 46
Hodge *-operator 219
Hodge decomposition 229
Hodge decomposition, inner product 221
Hodge decomposition, metric 29
Hoelder's inequality 231
Holomorphic structure 21
Hopf manifold 181
Hopf manifold surface 179
Inoue surface 179
Instanton 133
Integrable connection 23
| Integrable connection, semiconnection 21
Irreducible unitary connection 25
Irreducible unitary connection, vector bundle 181
Isomorphic holomorphic structures 21
Kahler form 218
Kahler form, metric 29
Kahler form, type 123
Kobayashi — Hitchin correspondence 92
Kobayashi — Hitchin correspondence, set-theoretical 61
Kuranishi description 92
Kuranishi description map 127
Kuranishi description model 120
Laplacian operator 224 227
Lefschetz operator 218
Left Composition Lemma 232
Lemma of Rellich 231
Maximun Principle 226
Mean curvature 24
Metric Gauduchon 29
Metric Kaehler 29
Metric, locally conformally flat-Kaehler 182
Metric, locally conformally Kaehler 182
Metric, projectively fiat-Kaehler 183
Metric, semi-Kaehler 29
Moduli space of irreducible Hermitian — Einstein connections 58
Moduli space of simple holomorphic structures 21
Moduli space of stable holomorphic structures 45
Moment map 119
Parallel section 22
Primary Hopf surface 163
Primary Kodaira surface 209
Primitive form 219
Projectively anti-selfdual 135
Projectively anti-selfdual, flat 51
Projectively anti-selfdual, flat-Kaehler 183
Projectively selfdual 135
Reduced endomorphism 19
Reduced endomorphism, gauge group 27
Reduced endomorphism, moduli space 123
Reducible unitary commotion 25
Second Ricci form 184
Selfdual 2-form 220
Selfdual 2-form connection 133
Semi-Kaehler metric 29
Semiconnection 18
Simple holomorphic structure 21
Simple holomorphic structure, semiconnection 19
slope 43
Sobolev Norm 209
Sobolev norm, Embedding Theorem 230
Sobolev norm, Multiplication Theorems 231
Topological constraint 135
Unitary connection 24
Wall (of type  ) 158
Weakly Hermitian — Einstein connection 46
Weakly Hermitian — Einstein connection, metric 46
Weakly holomorphic subbundle 81
Yang — Mills connection 133
Yang — Mills connection, functional 133
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