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[2506.19909v1] Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy

View PDFHTML (experimental)Abstract:In this note, we propose an extension of the relation between worldsheet global symmetries and structures over moduli spaces of superconformal field theories (SCFTs) to include noninvertible symmetries. The most familiar examples of such structures associated to an ordinary symmetry are the Bagger-Witte...

arxiv.org

[0810.1135v1] Compatible Complex Structures on Twistor Spaces

View PDFAbstract:Let (M,g) be a Riemannian 4-manifold. The twistor space Z- M is a CP1-bundle whose total space Z admits a natural metric h. The aim of this article is to study properties of complex structures on (Z,h) which are compatible with the CP1-fibration and the metric h. The results obtained enable us to translate some metric properties ...

arxiv.org

[2206.01419] Moduli Spaces of Marked Branched Projective Structures on Surfaces

Abstract page for arXiv paper 2206.01419: Moduli Spaces of Marked Branched Projective Structures on Surfaces Mathematics Algebraic Geometry arXiv:2206.01419(math... View PDFAbstract:We show that the moduli space of marked branched projective structures of genus g and branching degree n is a complex analytic space. In the case g 1 ...

arxiv.org

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[2605.23822v1] Coarse Structures on Homogeneous Spaces

Title:Coarse Structures on Homogeneous Spaces Authors: Carlos Pérez EstradaChristian RosendalView a PDF of the paper titled Coarse Structures on Homogeneous Spaces, by Carlos P\'erez Estrada and Christian Rosendal View PDFAbstract:Given a closed normal subgroup $H$ of a topological group $G$, we address the question of whet...

arxiv.org

[2310.04510] One-dimensional definable topological spaces in o-minimal structures

Pablo Andújar GuerreroMargaret E. M. ThomasView a PDF of the paper titled One-dimensional definable topological spaces in o-minimal structures, by Pablo And\'ujar Guerrero and Margaret E. M. Thomas View PDFAbstract:We study the properties of topological spaces $(X,\tau)$, where $X$ is a definable set in an o-minimal structure and the ...

arxiv.org

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[0801.3277v2] Homogeneous Poisson structures on loop spaces of symmetric spaces

arXiv:0710.4484, where we calculated, in a relatively explicit way, the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on both compact and noncompact type symmetric spaces. In this paper we consider loop space analogues. Most of the results from finite dimensions extend in a relatively routine...

arxiv.org

[2606.10952] Old and new structures on Ran spaces: Length structures, completeness, and conicality

Sylvain DouteauMarie LabeyeView a PDF of the paper titled Old and new structures on Ran spaces: Length structures, completeness, and conicality, by Sylvain Douteau and Marie Labeye View PDFAbstract:We study topologies on Ran spaces. In the literature, two distinct topologies frequently appear: the Hausdorff topology, and a finer one const...

arxiv.org

[2402.07135v1] Moduli spaces of level structures on mixed characteristic local shtukas

Abstract page for arXiv paper 2402.07135v1: Moduli spaces of level structures on mixed characteristic local shtukas Mathematics Number Theory arXiv:2402.07135v1(math... View PDFAbstract:We consider the flat moduli space of parahoric level structures on a local shtuka and show that it is representable over a smooth $p$-adic formal scheme ...

arxiv.org

[2203.17148] Joyce structures on spaces of quadratic differentials

Tom BridgelandView a PDF of the paper titled Joyce structures on spaces of quadratic differentials, by Tom Bridgeland View PDFHTML (experimental)Abstract:Consider the space parameterising curves of genus g 1 equipped with a quadratic differential with simple zeroes. We use the geometry of isomonodromic deformations to construct a com...

arxiv.org

[1612.02729v2] Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces

Chunyi LiXiaolei ZhaoView a PDF of the paper titled Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces, by Chunyi Li and Xiaolei Zhao View PDFAbstract:Let X be a projective smooth holomorphic Poisson surface, in other words, whose anti-canonical divisor is effective. We show that moduli spaces of certain B...

arxiv.org
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