Trisections of four-dimensional spaces

Oberwolfach'tan

Trisections of four-dimensional spaces

This snapshot introduces the theory of trisections of smooth 4-manifolds, an area of exploration in low-dimensional topology aiming to make four-dimensional spaces more understandable. Along the way, we discuss the concepts of topology, dimension, manifolds, and more!

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Matematiksel konular

Geometri ve Topoloji

Yazar(lar)

Sarah Blackwell

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2025-005-EN

PDF indir

snapshot-2025-005.pdf

PDF

snapshots: overview

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Trisections of four-dimensional spaces
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Reflections on hyperbolic space
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Quantum symmetry
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Vertex-to-Self Trajectories on the Platonic Solids
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The Interaction of Curvature and Topology
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Topological recursion
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Spaces of Riemannian metrics
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Computational Optimal Transport
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A few shades of interpolation
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Molecular quantum dynamics
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Closed geodesics on surfaces and Riemannian manifolds
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Aperiodic Order and Spectral Properties
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News on quadratic polynomials
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Towards a Mathematical Theory of Turbulence in Fluids
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Profinite groups
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The adaptive finite element method
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Friezes and tilings
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Zero-dimensional symmetry
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Billiards and flat surfaces
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Operator theory and the singular value decomposition
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The Kadison-Singer problem
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Statistics and dynamical phenomena
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The ternary Goldbach Problem
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Matrixfaktorisierungen
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Dirichlet Series

Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
Olasılık Kuramı ve İstatistik

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