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A Five Part Validator Grade Metric Solution to Topological Foundations of Dynamic Fine-Grained Complexity: A Unified Resolution via K-Theoretic Index Closures and 8D Simplicial Regularization

Fuente: Zenodo
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Bibliographic Details
Main Author: Forrest M. Anderson, Forrest
Format: Recurso digital
Language:English
Published: Zenodo 2026
Subjects:
Fine-Grained Complexity, Computational Complexity Lower Bounds, Cell-Probe Model, Strong Exponential Time Hypothesis, Dynamic Data Structures, Amortized Analysis, Complex K-Theory, Atiyah-Singer Index Theorem, Index Theory, Chern Classes, Chern Character, Grothendieck Group, Vector Bundles, Topological Invariants, Differential Geometry, Riemannian Manifolds, Spin Space-Forms, Bieberbach Manifolds, Hantzsche-Wendt Holonomy, Non-Orientable Surfaces, Euler Characteristic Barrier, Berry Phase, Global Analysis, Hodge-Laplacian, Differential Forms, De Rham Cohomology, Lax-Milgram Theorem, Elliptic Regularization, Sobolev Spaces, Coercivity Floor, Matrix Condition Numbers, Discrete Exterior Calculus, Simplicial Mesh, Lattice Gauge Theory, Lattice Dirac Operators, Wilson-Dirac Operator, Fermion Doubling Problem, Poincaré-Voronoi Dualization, Pushforward Mapping, Discretization Invariance, MSC 2020: 58J20, MSC 2020: 19L10, MSC 2020: 68Q17, MSC 2020: 53C27, MSC 2020: 35J47, ACM CCS: Theory of computation~Lower bounds, ACM CCS: Models of computation~Cell probe models, PACS: 11.15.Ha, PACS: 02.40.Pc
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