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A homotopy-theoretic context for CKM/Birkhoff renormalization
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abstract
We propose a geometric object slightly subtler than a complex line bundle with connection, a two-sphere fibration with structure group $\Omega^2_e S^2$, to parametrize a space of dimensional regularizations in the metaphysics of renormalization theory. Comments, corrections, advice and suggestions are very welcome. To be continued.
Forward citations
Cited by 3 Pith papers
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Fractional Quantum Hall Anyons via the Algebraic Topology of Exotic Flux Quanta
Fractional quantum Hall anyons are re-derived from a non-Lagrangian flux quantization in 2-Cohomotopy, with new predictions for torus degeneracy and defect anyons.
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Boundary framings for locally conformally symplectic four-manifolds
The paper proposes a rational homotopy model for a classifying space of locally conformally symplectic four-manifolds and a cobordism category of three-manifolds with Omega^2 S^2-bundle framings, but the standalone te...
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Some very low-dimensional algebraic topology
Proposes that the group completion of planar configuration spaces, equivalent to ΩS^2, is a moduli space whose Jordan-curve states encode renormalized Feynman integrals as residues.
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