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Generalized CalabiYau manifolds
 Q. J. Math
"... A geometrical structure on evendimensional manifolds is defined which generalizes the notion of a CalabiYau manifold and also a symplectic manifold. Such structures are of either odd or even type and can be transformed by the action of both diffeomorphisms and closed 2forms. In the special case o ..."
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Cited by 330 (3 self)
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A geometrical structure on evendimensional manifolds is defined which generalizes the notion of a CalabiYau manifold and also a symplectic manifold. Such structures are of either odd or even type and can be transformed by the action of both diffeomorphisms and closed 2forms. In the special case
Convergence of CalabiYau manifolds
, 2009
"... In this paper, we study the convergence of CalabiYau manifolds under Kähler degeneration to orbifold singularities and complex degeneration to canonical singularities (including the conifold singularities), and the collapsing of a family of CalabiYau manifolds. ..."
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Cited by 14 (3 self)
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In this paper, we study the convergence of CalabiYau manifolds under Kähler degeneration to orbifold singularities and complex degeneration to canonical singularities (including the conifold singularities), and the collapsing of a family of CalabiYau manifolds.
Geometry of CalabiYau manifolds
"... CalabiYau manifolds are certain higher dimensional generalisations of Riemann surfaces of genus one. Calabi Yau manifolds of dimension two form the wellstudied class of K3surfaces. It turns out that there exist a myriad of topologically different CalabiYau threefolds. However, their classificati ..."
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CalabiYau manifolds are certain higher dimensional generalisations of Riemann surfaces of genus one. Calabi Yau manifolds of dimension two form the wellstudied class of K3surfaces. It turns out that there exist a myriad of topologically different CalabiYau threefolds. However
Calabi–Yau manifolds for dummies
, 2008
"... In the text below we try to introduce the concept of a Calabi–Yau manifold. We start by defining vector bundles and complex manifolds, then introduce Kähler manifolds, review the most rudimentary concepts of Chern classes and then define Calabi–Yau manifolds. We also comment on the importance of Cal ..."
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In the text below we try to introduce the concept of a Calabi–Yau manifold. We start by defining vector bundles and complex manifolds, then introduce Kähler manifolds, review the most rudimentary concepts of Chern classes and then define Calabi–Yau manifolds. We also comment on the importance
Singular CalabiYau Manifolds
, 2000
"... We study superstring propagations on the CalabiYau manifold which develops an isolated ADE singularity. This theory has been conjectured to have a holographic dual description in terms of N = 2 LandauGinzburg theory and Liouville theory. If the LandauGinzburg description precisely reflects the in ..."
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We study superstring propagations on the CalabiYau manifold which develops an isolated ADE singularity. This theory has been conjectured to have a holographic dual description in terms of N = 2 LandauGinzburg theory and Liouville theory. If the LandauGinzburg description precisely reflects
ON SPECIAL GENERALIZED CALABIYAU MANIFOLDS
, 2007
"... Abstract. We construct examples of special generalized CalabiYau manifolds on compact quotients of solvable Lie groups. We prove that the CalabiYau structures are not rigid in the class of special generalized CalabiYau structures. Moreover, we provide an example of a compact 6dimensional special ..."
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Abstract. We construct examples of special generalized CalabiYau manifolds on compact quotients of solvable Lie groups. We prove that the CalabiYau structures are not rigid in the class of special generalized CalabiYau structures. Moreover, we provide an example of a compact 6dimensional
ON THE MODULI SPACE OF CALABIYAU MANIFOLDS
"... Let X be a simply connected compact Kähler manifold with zero first Chern class, and let L be an ample line bundle over X. The pair (X,L) is called a polarized CalabiYau manifold. By a theorem of Mumford, the moduli space of the pair (X,L) (CY moduli) exists and ..."
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Let X be a simply connected compact Kähler manifold with zero first Chern class, and let L be an ample line bundle over X. The pair (X,L) is called a polarized CalabiYau manifold. By a theorem of Mumford, the moduli space of the pair (X,L) (CY moduli) exists and
in generalized CalabiYau manifolds
, 2007
"... the supergravity formulation of mirror symmetry ..."
CalabiYau Manifolds Over
, 2004
"... We study ζfunctions for a one parameter family of quintic threefolds defined over finite fields and for their mirror manifolds and comment on their structure. The ζfunction for the quintic family involves factors that correspond to a certain pair of genus 4 Riemann curves. The appearance of these ..."
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of the Weil conjectures to Calabi–Yau threefolds: the ζfunctions are rational functions and the degrees of the numerators and denominators are exchanged between the ζfunctions for the manifold and its mirror. It is clear nevertheless that the ζfunction, as classically defined, makes an essential
Results 1  10
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