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Showing 1 to 20 of 90 for “"Moduli Space"”.
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Moduli Space of (0,2) Conformal Field Theories
… a conjecture for a toric structure of the SCFT moduli space in a large class of models. In the final part, we study the stability of heterotic compactifications described by (0,2) GLSMs with respect to worldsheet instanton corrections to the space-time superpotential following the work of …
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Towards birational aspects of moduli space of curves
The moduli space of curves has proven itself a central object in algebraic geometry. The past decade has seen substantial progress in understanding its geometry. This has been spurred by a flurry of ideas from geometry (algebraic, symplectic, and differential), topology, combinatorics, and physics. …
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Two Irreducible Components of the Moduli Space M can 1,3
… on the corresponding subsets in the Gieseker moduli space. Extended Burniat surfaces with K^2=3 were constructed by Bauer and Catanese in the course of studying the tertiary Burniat surfaces and they showed that their closure is an irreducible component of the moduli space. We prove here the …
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Transversals to horocycle flow on the moduli space of translation surfaces
… into return times under horocycle flow on the space of translation surfaces to a specific transversal. We show how to use this strategy to explicitly compute the distribution in the case of the octagon, the first case where the Veech group has multiple cusps, how to generalize the construction …
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The moduli space of hypersurfaces whose singular locus has high dimension
… k be an algebraically closed field. Consider the moduli space X of hypersurfaces in P" of fixed degree I whose singular locus is at least b-dimensional. We prove that for large 1, X has a unique irreducible component of maximal dimension, consisting of the hypersurfaces singular along a linear …
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A compact moduli space for Cohen-Macaulay curves in projective space
We define a moduli functor parametrizing finite maps from a projective (locally) Cohen-Macaulay curve to a fixed projective space. The definition of the functor includes a number of technical conditions, but the most important is that the map is almost everywhere an isomorphism onto its image. The …
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Large genus bounds for the distribution of triangulated surfaces in moduli space
… how triangulated surfaces are distributed in the moduli space of Riemann surfaces as the genus tends to infinity. Mirzakhani raised this question in her 2010 ICM address. We show that in the large genus case, triangulated surfaces are well distributed in moduli space in a fairly strong sense. We …
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Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
… invariants based on intersection theory on the moduli space of pseudoholomorphic curves of arbitrary genus with boundary in a Lagrangian submanifold. We assume the Lagrangian submanifold arises as the fixed points of an anti-symplectic involution and has dimension 2 or 3. In the strongly …
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A Gauge-Theoretic Approach to the Chern Form of the Canonical Bundle on the Moduli Space of Stable Parabolic Bundles
… a gauge-theoretic approach to construct the moduli space of stable parabolic bundles on a closed Riemann surface using weighted Sobolev spaces. We study the metric properties of the moduli space, and in particular, we compute the L2 curvature of its canonical bundle. By identifying the …
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Geometry of Spaces of Planar Quadrilaterals
… dissertation is to investigate the geometry of spaces of planar quadrilaterals. The topology of moduli spaces of planar quadrilaterals (the set of all distinct planar quadrilaterals with fixed side lengths) has been well-studied [5], [8], [10]. The symplectic geometry of these spaces has been …
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On the Riemannian geometry of Seiberg-Witten moduli spaces
… for Riemannian metrics on Seiberg-Witten moduli spaces. Both these constructions are naturally induced from the L2-metric on the configuration space. The construction of the so called quotient L2-metric is very similar to the one construction of an L2-metric on Yang-Mills moduli spaces as …
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Moduli spaces of rational graphically stable curves
… condition for the algebraic and tropical moduli spaces of rational curves. Tropically, we characterize when the moduli space has the structure of a balanced fan by proving a combinatorial bijection between graphically stable tropical curves and chains of flats of a graphic matroid. …
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Bubble tree compactification of instanton moduli spaces
We study the compactification of moduli spaces defined by the anti-self-dual (ASD) Yang-Mills equations on SU(2) or SO(3) bundles over closed oriented Riemannian 4-manifolds and 4-orbifolds. In general the ASD moduli space is not compact since the curvature of a sequence of connections may blow up …
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Bubble tree compactification of instanton moduli spaces
We study the compactification of moduli spaces defined by the anti-self-dual (ASD) Yang-Mills equations on SU(2) or SO(3) bundles over closed oriented Riemannian 4-manifolds and 4-orbifolds. In general the ASD moduli space is not compact since the curvature of a sequence of connections may blow up …
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Excess Porteous, Coherent Porteous, and the Hyperelliptic Locus in M3
In the moduli space of curves of genus 3, the locus of hyperelliptic curves forms a divisor, that is a closed subscheme of codimension 1. J. Harris and I. Morrison compute an expression for the class of this divisor, in the Chow ring of the moduli space, using a map of vector bundles and by …
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Logarithmic Gromov-Witten theory and double ramification cycles
… of toric varieties and its interactions with the moduli space of curves. In the first paper (joint work with Dhruv Ranganathan), we prove that the logarithmic Gromov-Witten cycles of a toric variety endowed with its toric log structure lie in the tautological subring of the moduli space of stable …
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D-branes on Calabi-Yau Spaces
… 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 have in …
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Singularities of the Perfect Cone Compactification
… about the first Voronoi compactification of the moduli space of principally polarised abelian varieties, the object taken into consideration consists of the perfect cone (also known as first Voroni) compactification of arithmetic quotients of type IV domains. These are of importance in the …
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Four Generated Rank 2 Arithmetically Cohen-Macaulay Vector Bundles on General Sextic Surfaces
… dissertation, we compute the dimension of the moduli space, of four generated indecomposable rank 2 arithmetically Cohen-Macaulay: ACM for short) bundles on a general sextic surface.</p><p>In Chapter One we introduce preliminaries and prove on a general sextic surface, every four generated …
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