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KodairaSpencer theory of gravity and exact results for quantum string amplitudes
 Commun. Math. Phys
, 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
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Cited by 545 (60 self)
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We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a
Homological Algebra of Mirror Symmetry
 in Proceedings of the International Congress of Mathematicians
, 1994
"... Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual Ca ..."
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Cited by 529 (3 self)
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Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual
§1.4. The Arithmetic KodairaSpencer Morphism
, 2000
"... The purpose of the present manuscript is to give a survey of the HodgeArakelov theory of elliptic curves (cf. [Mzk1,2]) — i.e., a sort of “Hodge theory of elliptic curves ” analogous to the classical complex and padic Hodge theories, but which exists in the global arithmetic framework of Arakelov ..."
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The purpose of the present manuscript is to give a survey of the HodgeArakelov theory of elliptic curves (cf. [Mzk1,2]) — i.e., a sort of “Hodge theory of elliptic curves ” analogous to the classical complex and padic Hodge theories, but which exists in the global arithmetic framework
The Intrinsic Normal Cone
 Invent. Math
, 1997
"... We suggest a construction of virtual fundamental classes of certain types of moduli spaces. Contents 0 ..."
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Cited by 353 (9 self)
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We suggest a construction of virtual fundamental classes of certain types of moduli spaces. Contents 0
Type B topological matter, KodairaSpencer theory, and mirror symmetry,” Phys
 Lett. B
, 1994
"... Perturbing usual type B topological matter with vector (0, 1)forms we find a topological theory which contains explicitly KodairaSpencer deformation theory. It is shown that, in genus zero, threepoint correlation functions give the Yukawa couplings for a generic point in the moduli space of compl ..."
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Cited by 3 (1 self)
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Perturbing usual type B topological matter with vector (0, 1)forms we find a topological theory which contains explicitly KodairaSpencer deformation theory. It is shown that, in genus zero, threepoint correlation functions give the Yukawa couplings for a generic point in the moduli space
First Order String Theory and the KodairaSpencer Equations. I
, 906
"... We consider firstorder bosonic string theory, perturbed by the primary operator, corresponding to deformation of the targetspace complex structure. We compute the effective action in this theory and find that its consistency with the worldsheet conformal invariance requires necessarily the Kodaira ..."
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Cited by 1 (0 self)
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the KodairaSpencer equations to be satisfied by targetspace Beltrami differentials. We discuss the symmetries of the theory and its reformulation in terms of the vielbein background fields. 1
Seibergwitten theory and random partitions
"... We study N = 2 supersymmetric four dimensional gauge theories, in a certain N = 2 supergravity background, called Ωbackground. The partition function of the theory in the Ωbackground can be calculated explicitly. We investigate various representations for this partition function: a statistical sum ..."
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Cited by 269 (9 self)
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We study N = 2 supersymmetric four dimensional gauge theories, in a certain N = 2 supergravity background, called Ωbackground. The partition function of the theory in the Ωbackground can be calculated explicitly. We investigate various representations for this partition function: a statistical
Secondary KodairaSpencer classes and nonabelian Dolbeault cohomology
, 1998
"... One of the nicest things about variations of Hodge structure is the “infinitesimal variation of Hodge structure ” point of view [25]. A variation of Hodge structure (V = V p,q, ∇) over a base S gives rise at any point s ∈ S to the KodairaSpencer map κs: T(S)s → Hom(V p,q s, V p−1,q+1 s). In the geo ..."
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Cited by 2 (0 self)
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One of the nicest things about variations of Hodge structure is the “infinitesimal variation of Hodge structure ” point of view [25]. A variation of Hodge structure (V = V p,q, ∇) over a base S gives rise at any point s ∈ S to the KodairaSpencer map κs: T(S)s → Hom(V p,q s, V p−1,q+1 s
Two Dimensional KodairaSpencer Theory and Three Dimensional ChernSimons Gravity, arXiv:0711.1932 [hepth
"... Motivated by the sixdimensional formulation of KodairaSpencer theory for CalabiYau threefolds, we formulate a twodimensional version and argue that this is the relevant field theory for the target space of local topological Bmodel with a geometry based on a Riemann surface. We show that the War ..."
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Cited by 27 (4 self)
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Motivated by the sixdimensional formulation of KodairaSpencer theory for CalabiYau threefolds, we formulate a twodimensional version and argue that this is the relevant field theory for the target space of local topological Bmodel with a geometry based on a Riemann surface. We show
Results 1  10
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1,194