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4-manifolds

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rbraunm / tetradrome

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A reproducible, audit-first Python workbench for the invariants of smooth 4-dimensional topology — native Khovanov, Lee, Rasmussen s, and knot Floer homology for knots, links, and braids, validated against established tools.

python reproducible-research mathematics knot-theory concordance khovanov-homology computational-topology homological-algebra gauge-theory knot-invariant low-dimensional-topology heegaard-floer 4-manifolds knot-floer-homology
  • Updated Aug 18, 2026
  • Python

bwuebben / exotic-s2xs2

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Scripts, certificates, and papers reducing a homeomorphism question for Lidman–Piccirillo 4-manifolds to the exotic S²×S² problem, plus a certificate-complete computation of π₁ via coset enumeration and Knuth–Bendix completion.

reproducible-research computational-mathematics gap-system knuth-bendix fundamental-group low-dimensional-topology geometric-topology 4-manifolds exotic-smooth-structures coset-enumeration
  • Updated Aug 17, 2026
  • GAP

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