The Moduli Space
On the moduli space of superminimal surfaces in spheres
... the moduli space since the degree of the maps is not under ...uli space of superminimal surfaces of a certain degree into the study of maps into projective space satisfying the differential ...
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The moduli space of (111) polarized abelian surfaces is unirational
... the moduli space of polarized Abelian surfaces of type 1; d, and let A lev d be the moduli space of 1; d -polarized Abelian surfaces with canonical level ...
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Second variation of Zhang's λ-invariant on the moduli space of curves.
... Hain and D. Reed. We deduce some consequences; for example we calculate the λ-invariant for each hyperelliptic curve, expressing it in terms of the Petersson norm of the discriminant modular form. 1. Introduction. ...
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Geometric Quantization of Classical Metrics on the Moduli Space of Canonical Metrics
... metric on the direct image sheaf in later sections. In section 3, we investigate the deformation of pluri-anticanonical sections. We establish the deformation equation of these sections and use the Hodge theory to show ...
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Intersection Theory on the Moduli Space of Curves and the Matrix Airy Function*
... The moduli space of ribbon graphs from Theorem 2.2 carries the natural structure of an orbispace, because the automorphism group of any ribbon graph with metric is finite.. One can exten[r] ...
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Double Ramification Cycles and the n-Point Function for the Moduli Space of Curves
... Article: Buryak, A (2017) Double Ramification Cycles and the n-Point Function for the Moduli Space of Curves. Moscow Mathematical Journal, 17 (1). pp. 1-13. ISSN 1609-3321 This is an author produced version ...
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Higher Arf Functions and Topology of the Moduli Space of Higher Spin Riemann Surfaces
... The paper is organized as follows: In section 2 we study the covering groups G m of the group PSL(2, R ), and in particular the algebraic properties of the preimages in G m of hyperbolic and parabolic elements of PSL(2, ...
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The moduli space of heterotic line bundle models: a case study for the tetra-quadric
... important question in this context concerns the fate of the Higgs doublet pair. As a vector- like pair, the Higgs is not automatically protected from acquiring a mass as one moves in moduli space. In fact, ...
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Equivalence of the Open KdV and the Open Virasoro Equations for the Moduli Space of Riemann Surfaces with Boundary
... The open KdV equations and the open Virasoro equations provide two different ways to describe the intersection numbers on the moduli space of Riemann surfaces with boundary. It is absolutely non-obvious ...
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Transversals to horocycle flow on the moduli space of translation surfaces
... . This definition was chosen so that it acts on slopes by translations. That is, if we consider a vector v with slope σ, then the slope of h s · v will be σ − s. The key step in the strategy is the construction of an ...
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The Moduli Space of Flat Connections over Higher Dimensional Manifolds
... the space of simplified solutions, that is, the elliptic solutions for the unrealistic model in which it is only the sun that exerts a gravitational pull, locally forms a 6n-dimensional smooth manifold, which we ...
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Gonality of Points in Brill-Noether Loci of the Moduli Space of Curves
... Chapter 1 Background 1.1 Motivation and Application Euclidean geometry was developed by the greek mathematician Euclid around 300 B.C., in his famous book “Elements”. This way of looking at shapes and the relations ...
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Physical phase space of lattice Yang Mills theory and the moduli space of flat connections on a Riemann surface
... phase space. It is known that quantization of a compact phase space leads to a finite-dimensional Hilbert space and, therefore, any operator acting in the space has a discrete spectrum and one ...
12
Asymptotic limits in the Hitchin moduli space
... Figure 1.1: The complex integrable system structure manifests in a Lagrangian fi- bration of M. Generic fibers are compact complex tori. The ends of the moduli space are indicated in gray. physics about ...
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25.1 Moduli space of the complex cubic polynomials.
... $f$ is hyperbolic if both of these critical orbits converge towards attracting periodic orbits. The set of all hyperbolic points in the moduli space $\mathcal{M}$ forms an open set. Each connected component ...
7
COMPUTING DYNAMICAL DEGREES OF RATIONAL MAPS ON MODULI SPACE
... Moreover, the maps f ρ : X N 99K X N naturally arise in the setting of Thurston’s topological characteriza- tion of rational maps [Ko]. As a general rule, dynamical quantities associated to iterating the maps f ρ should ...
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MODULI SPACE OF BRODY CURVES, ENERGY AND MEAN DIMENSION
... Abstract. A Brody curve is a holomorphic map from the complex plane C to a Hermitian manifold with bounded derivative. In this paper we study the value distribution of Brody curves from the viewpoint of moduli ...
Moduli space of filtered λ ringstructures over a filtered ring
... the space of continuous maps from R to W(R) consisting of the filtered ring homomorphisms which make R into a ...the moduli space of filtered λ-ring structures on ...
20
Moduli space and deformations of special Lagrangian submanifolds with edge singularities
... Broadly speaking, we want to have in the moduli space all nearby special Lagrangian sub- manifolds with edge singularity. This rough idea has two aspects that must be considered for the moduli ...
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Dynamics of SL 2 (R) over moduli space in genus two
... the space of elliptic differentials of degree ...the moduli space of principally polarized Abelian varieties of dimension ...The space A g is isomorphic to the quotient H g / Sp 2g (Z) of the ...
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