Poincar'e Duality and Quadratic Refinements over Laurent Rings

arXiv:2609.25767 · math.AC, cond-mat.str-el, math-ph, math.MP · Submitted 2026-09-22 · Read on arXiv

math.AC, cond-mat.str-el, math-ph, math.MP

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Verification — 2× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Alternation — 1× in this paper · explained in 1 episode
• Anyons — 1× in this paper · explained in 2 episodes
• Axioms — 1× in this paper · explained in 2 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Modularity — 1× in this paper · explained in 9 episodes
• Stabilizer States — 1× in this paper · explained in 2 episodes
• Topological Order — 1× in this paper · explained in 2 episodes

Sources

• A Classification of Invertible Stabilizer Codes
• Stabilizer Codes and Quantum Error Correction
• Operator algebra and algorithmic construction of boundaries and defects in (2+1)D topological Pauli stabilizer codes
• Witt Groups and Bulk-Boundary Correspondence for Stabilizer States
• A holographic view of topological stabilizer codes
• From Koszul-Complex Stabilizer Models to Superselection Profiles: Topological Rigidity and Nonsplit Extensions
• The Classification of Pauli Stabilizer Codes: A Lattice and Continuum Treatise

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