Results 1  10
of
1,512
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 ..."
Abstract

Cited by 545 (60 self)
 Add to MetaCart
particular realization of the N = 2 theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira– Spencer theory, which may be viewed as the closed string analog of the Chern–Simon theory. Using the mirror map this leads to computation of the ‘number
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 ..."
Abstract

Cited by 3 (1 self)
 Add to MetaCart
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
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 ..."
Abstract

Cited by 27 (4 self)
 Add to MetaCart
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
FORMAL DEFORMATION OF CHOW GROUPS
"... (i) Summary of results (ii) Discussion of techniques (2) First order obstruction theory (i) Variants of KodairaSpencer theory ..."
Abstract
 Add to MetaCart
(i) Summary of results (ii) Discussion of techniques (2) First order obstruction theory (i) Variants of KodairaSpencer theory
Mirror Transform and String Theory
 Geometry, Topology, and Physics for Roul Bott&quot;, Cambridge International
, 1994
"... Some aspects of Mirror symmetry are reviewed, with an emphasis on more recent results extending mirror transform to higher genus Riemann surfaces and its relation to the KodairaSpencer theory of gravity1. ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
Some aspects of Mirror symmetry are reviewed, with an emphasis on more recent results extending mirror transform to higher genus Riemann surfaces and its relation to the KodairaSpencer theory of gravity1.
The topological vertex
, 2003
"... We construct a cubic field theory which provides all genus amplitudes of the topological Amodel for all noncompact toric CalabiYau threefolds. The topology of a given Feynman diagram encodes the topology of a fixed CalabiYau, with Schwinger parameters playing the role of Kähler classes of the th ..."
Abstract

Cited by 169 (24 self)
 Add to MetaCart
of the threefold. We interpret this result as an operatorial computation of the amplitudes in the Bmodel mirror which is the quantum KodairaSpencer theory. The only degree of freedom of this theory is an unconventional chiral scalar on a Riemann surface. In this setup we identify the Bbranes on the mirror
§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 ..."
Abstract
 Add to MetaCart
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
DOLBEAULT COHOMOLOGY AND DEFORMATIONS OF NILMANIFOLDS
 REVISTA DE LA UNIÓN MATEMÁTICA ARGENTINA, VOLUMEN 47, NÚMERO 1, 2006, PÁGINAS 51–60
, 2006
"... In these notes I review some classes of invariant complex structures on nilmanifolds for which the Dolbeault cohomology can be computed by means of invariant forms, in the spirit of Nomizu’s theorem for de Rham cohomology. Moreover, deformations of complex structures are discussed. Small deformatio ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
deformations remain in some cases invariant, so that, by KodairaSpencer theory, Dolbeault cohomology can be still computed using invariant forms.
Partition Functions for BPS States of the NonCritical E8
 167, hepth/9707149. 16 K. Yoshioka, “Euler Characteristics of SU(2) Instanton Moduli Spaces on Rational Elliptic Surfaces,” Commun. Math. Phys. 205
, 1998
"... We consider the BPS states of the E8 noncritical string wound around one of the circles of a toroidal compactification to four dimensions. These states are indexed by their momenta and winding numbers. We find explicit expressions, Gn, for the momentum partition functions for the states with windin ..."
Abstract

Cited by 18 (1 self)
 Add to MetaCart
with winding number n. The Gn are given in terms of modular forms. We give a simple algorithm for generating the Gn, and we show that they satisfy a recurrence relation that is reminiscent of the holomorphic anomaly equations of KodairaSpencer theory.
Results 1  10
of
1,512