Index
l-formal space, 34, 36-37
1-minimal model, 29-32, 37, 41
Albanese
dimension, 23
image, 23, 40-43
map, 3, 22-25, 40-43
variety, 22-23, 41
Betti moduli space, 92-94
Bochner formula, see Siu-Sampson theorem
bounded geometry, 48, 50, 53-63
Castelnuovo-de Pranchis, 2-3, 24-25, 28, 43,
61, 63, 90
Cheeger-Chern-Simons classes, 106
commutative differential graded algebra
(CDGA), 30-32, 35-37
dual Lie algebra of, 32
quasi-isomorphism of, 30
weak equivalence of, 30, 32
compact complex surface, 4-5, 10-16, 25, 28
ddc lemma, 33, 131
de Rham fundamental group, 29-46, 123
2-step nilpotent, 38
Eilenberg-Mac Lane space, 2-3, 8, 13, 21,
23, 33-34, 82-83
ends of groups, 8-9, 12-13, 47-51, 60-61
factorisation theorem, 26, 82-84, 89-90, 112
formality, 29, 32-34, 104-105
l-formal space, 34, 36-37
group
1-relator, 39
Abelian, 9, 116, 123-125
(pure) braid, 8, 61
fibered, 27, 43, 86
finite, 6
free, 7, 9, 11, 13, 16, 18, 27, 38, 49, 123
free product, 8, 11-14, 47, 49, 109-110
Heisenberg, 8, 39-40, 49, 114
Higman, 7, 14, 85-87, 110
lattice, see lattice
nilpotent, 9, 114
non-fibered, 27, 43-45
non-Hopfian, 110
non-linear, 85-87, 110, 115-119
non-residually finite, 7, 14, 109-110, 115-
119
group algebra, 124-125
group completion, 121-128
fe-unipotent, see pro-unipotent
'P-completion, 121
nilpotent, 122, 124-128
pro-finite, 7, 118, 122
pro-unipotent, 9, 29-46, 123-128
torsion-free nilpotent, 9, 43, 124-128
Hard Lefschetz Theorem, 8, 38, 130
harmonic flat bundle, 91-107
deformation theory of, 104-105
harmonic map, 9-10, 26, 65-90
existence of, 66, 68, 89
equivariant, 67-69, 82, 92
factorisation of, 26, 82, 89-90
uniqueness of, 66
Hermitian sectional curvature, 71-76
Hermitian symmetric space, 78-81, 85
Higgs bundle, 91-105
Higgs-Hermitian-Yang-Mills (HHYM) equa-
tion, 97-103
139
Previous Page Next Page