Index
A-model, 163, 166, 176, 179, 180, 185
action, 169, 172
correlation function, 168–170, 189,
see also Gromov-Witten
invariant
fermionic symmetry of, see BRST
symmetry
observable, 169, 176
abelian group, 68
free, 70
homomorphism of, 69, 76
action, 136–137, 143, 146
bosonic string, see string theory,
bosonic, action
of A-model, see A-model, action
supersymmetric, 150, 151
symmetry of, 139, 141
continuous, 139
example of, 141
fermionic, 163
infinitesimal, 140, 143
algebraic curve, 31
isomorphism of, 32
algebraic geometry, 9, 20
angular momentum, 141
antisymmetric product, 61, see also
wedge product
area form, 160, 171
arithmetic genus, 34
atlas, 50, 58, 60
B-model
correlation function, 177, 189
ball, 44, 45
Berezin integral, 149, 153, see also
fermionic integration
ezout’s theorem, 16, 17, 19, 21, 22,
24, 41, 80–81, 193, 194, see also
enumerative geometry, in the
plane
big quantum cohomology, 191–196
product, 194
associativity of, 194–196
of
P1,
194–195
of
P2,
195–196
bosonic string action, see string
theory, bosonic, action
boundary, 54, 72
boundary operator, 71
branch point, 36, 38, 42
BRST cohomology, 166, 168
BRST operator, 166–170, 172
BRST symmetry, 165–170, see also
action, symmetry of, fermionic
BRST-closed, 168
BRST-exact, 168
CPn,
see
Pn
and complex projective
space
CP1,
see
P1
and complex projective
line
C∞
manifold, see manifold,
C∞
Calabi-Yau manifold, 187
definition of, 174
example of, 175
Calabi-Yau threefold, 132, 173–177
definition of, 174
example of, 174
Gromov-Witten invariant of, 176
calculus of variations, 137
canonical bundle, 174, 184
category, 48
example of, 49, 50, 76
201
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