Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 56 for “"Calabi-Yau"”.
-
D-branes on Calabi-Yau Spaces
In this thesis the properties of D-branes on Calabi–Yau spaces are investigated. Compactifications of type II string theories on these spaces to which D-branes are added lead to N = 1 supersymmetric gauge theories on the world-volume of these D-branes. Both the Calabi–Yau spaces and the D-branes …
-
Fibered Calabi -Yau Varieties and Toric Varieties
… constructing K3-fibered and elliptically fibered Calabi-Yau threefolds over P1 and P2 respectively. We first show how to write weighted projective space bundles as toric varieties. We then find necessary and sufficient conditions for the anti-canonical linear systems of these bundles to have …
-
Enumerative invariants for local Calabi-Yau threefolds
This thesis consists of three parts. In the first part, we compute the topological Euler characteristics of the moduli spaces of stable sheaves of dimension one on the total space of rank 2 bundle on P1 whose determinant is O(−2). We count the torus fixed stable sheaves of low degrees and show the …
-
Asymptotically cylindrical Calabi–Yau and special Lagrangian geometry
We study asymptotically cylindrical Calabi–Yau manifolds and their asymptotically cylindrical special Lagrangian submanifolds. As a prototype problem, we also consider an extension of Hodge theory to general asymptotically cylindrical manifolds. For our study of asymptotically cylindrical …
-
Applications of Numerical Methods in Heterotic Calabi-Yau Compactification
… to several different problems in heterotic Calabi-Yau compactification. We review algorithms for computing both the Ricci-flat metric on Calabi-Yau manifolds and Hermitian Yang-Mills connections on poly-stable holomorphic vector bundles over those spaces. We apply the numerical techniques …
-
Gross-Siebert Mirror Ring for Smooth log Calabi-Yau Pairs
… with one point-constraint for any smooth log Calabi-Yau pair (W, D). Denote by Na,b the number of rational curves in W meeting D in two points, one with contact order a and one with contact order b with a point constraint. (Such numbers are defined within relative or logarithmic Gromov-Witten …
-
On Smooth Isolated Curves in General Complete Intersection Calabi-Yau Threefolds
… isolated curves in general complete intersection Calabi-Yau (CICY) threefolds. There are three parts. In the first part, we use Knutsen's technique to prove some existence results on smooth isolated curves in general CICY threefolds. Recently Knutsen found criteria for the curves in a complete …
-
Homological mirror symmetry for a Calabi-Yau hypersurface in projective space
… Mirror Symmetry for a smooth d-dimensional Calabi-Yau hypersurface in projective space, for any d =/> 3.
-
CALABI-YAU MANIFOLDS OF TYPE A AND THE CONE CONJECTURE FOR HYPERELLIPTIC VARIETIES
A Calabi-Yau n-fold Y is a compact, complex, Kähler n-fold with trivial canonical bundle and h^{i,0}(Y)=0 for 0<1 and Oguiso and Sakurai classified them in dimension 3. In this thesis we provide higher dimensional examples that ensure the existence of Calabi-Yau manifolds of type A in all odd …
-
Elliptic fibrations among toric hypersurface Calabi-Yau manifolds and mirror symmetry of fibrations
… genus one fibrations among toric hypersurface Calabi-Yau three folds by (1) constructing explicitly elliptically fibered Calabi-Yau threefolds with large Hodge numbers using Weierstrass model techniques motivated by F-theory, and comparing the Tate-tuned Wierstrass model set with the set of …
-
Complements on Log Canonical Fano Varieties and Index Conjecture of Log Calabi-Yau Varieties
… of complements to the index conjecture of log Calabi-Yau varieties. We mainly work over an algebraically closed field of characteristic zero, more specifically over C. We will first introduce some basic background theory for birational geometry, including notion of singularities, pairs, …
-
Direct Computation of the Degree 4 Gopakumar -Vafa Invariant on a Calabi -Yau 3 -Fold
… invariant of local P 2, a (noncompact) Calabi-Yau 3-fold. This is a new result verifying an instance of conjecture motivated by physics.
-
On the geometry of the Strominger system
… of Ricci-flat metrics on non-Kshler Calabi-Yau 3- folds. In this thesis, I will present some explicit solutions to the Strominger system on a class of noncompact Calabi-Yau 3-folds. These spaces include the important local models like C3 as well as both deformed and resolved …
-
Geometry of SU(3) Manifolds
… support as `nice' special Lagrangian geometry as Calabi-Yau 3-folds do. Roughly speaking, this means that there should be a local special Lagrangian submanifold tangent to any special Lagrangian 3-plane. I call these $SU(3)$-structures {\it admissible}. By employing Cartan-K\"ahler machinery, I …
-
Extending the Geometric Tools of Heterotic String Compactification and Dualities
… general vector bundles on elliptically fibered Calabi-Yau geometries. In particular, we consider the case in which the Calabi-Yau fibration is not in Weierstrass form but can rather contain fibral divisors or multiple sections (i.e., a higher rank Mordell-Weil group). In these cases, general …
-
A Künneth theorem for the cyclic homology of A-infinity algebras
… we show that if A and B are equipped with weak Calabi-Yau structures, then A [circled times] B also inherits a weak Calabi-Yau structure. Also, we show that the Künneth quasi-isomorphism respects good splittings of the Hodge filtration on A and B compatible with the weak Calabi-Yau structure. …
-
Mirrors to Toric Degenerations via Intrinsic Mirror Symmetry
… mirror construction for minimal relative log Calabi-Yau degenerations generalizes that for divisorial toric degenerations $\bar{\mathfrak{X}} \to \mathcal{S}$ of K3-s that have a smooth generic fibre. We achieve this by constructing a resolution of $\bar{\mathfrak{X}} \to \mathcal{S}$ to a …
-
On Berglund-Hübsch-Krawitz Mirror Symmetry
We provide various suites of results for the Calabi-Yau orbifolds that have Berglund-Hübsch-Krawitz (BHK) mirrors. These Calabi-Yau orbifolds are certain finite symplectic quotients of hypersurfaces in weighted-projective space. First, we will describe their birational geometry using Shioda maps …
-
Calibrations and minimal Lagrangian submanifolds
… (n, 0)-form (we will call'M an almost Calabi-Yau manifold). We will study the geometry of Special Lagrangian submanifolds on M and the global properties of their moduli-space. We will exhibit an example of a compact, simply connected almost Calabi-Yau threefold, which admits a Special …
-
Applications of gauged linear sigma models
… that RG flow to a new family of non-compact Calabi-Yau threefolds, constructed as fiber products of genus g curves and noncompact Kahler threefolds. We only considered curves given as branched double covers of P^1. Our construction utilizes nonperturbative constructions of the genus g curves, …
Page 1 of 3