Index
A∞ deformation of an assoc. algebra, 37
A∞-algebra, 34
B-bimodule, 19
L∞-Maurer-Cartan equation, 71
L∞-Maurer-Cartan moduli space, 72
L∞-algebra, 70
R-bilinear map, 10
P-algebra, 87
◦i-operation, 25, 85
S-module, 89
n-deformation, 15
É-homotopy theory, 67
L∞-isomorphism, 77
abelian L∞-algebra, 71
absolutely rigid algebra, 21
algebra, 10
almost free operads, 93
analytically rigid algebra, 23
anti-associative algebra, 120
arity, ix, 89
associahedron, 35
associative algebra, 10
augmentation, 1
augmentation ideal, 1, 92
augmented operad, 91
augmented ring, 1
base change, 11
base of a deformation, 10
bialgebra, 120
bimodule, 2
cellular operad, 93
cellular resolution, 94
Chevalley-Eilenberg differential, 117
classical limit, 82
coassociative coalgebra, 40
cohomology of a P-algebra, 99
colored S-module, 89
colored R-module, 88
colored endomorphism operad, 88
colored operad, 88
colored vector space, 88
commutative algebra, 10
commutator Lie algebra, 46
compatible sequence, 3
complete local ring, 3
completion, 3
component of an L∞-morphism, 76
composition of L∞-morphisms, 76
connected operad, 92
contractible linear L∞-algebra, 78
corestriction of a coderivation, 42
cosimplicial object, 55
curvature, 40, 100, 118
curved A∞-algebra, 40
curved L∞-Maurer-Cartan equation, 100
curved L∞-algebra, 100
De Rham forms, 59
deformation of an associative algebra, 10
deformation functor, 54
deformation of a P-algebra, 87
deformation of a scheme, 16
deformation of an A∞-algebra, 37
deformation quantization, 82
degree d coderivation, 41
derivation along β, 92
derivation of an operad, 92
derived A∞-algebras, 39
desuspension, 42
dg-associative algebra, 57
dg-Lie algebra, 26
dg-operad, 93
differential, 42
differential of an operad, 93
differential up to homotopy, 38
dioperad, 120
direct product of L∞-algebras, 74
disconnected É-homotopy theory, 67
dual Leibniz rule, 41
dual numbers, 2
endomorphism operad, 85
equivalent R-deformations, 11
extended Gersten.-Hoch. algebra, 36
extended Gerstenhaber bracket, 34
121
http://dx.doi.org/10.1090/cbms/116/11
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