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math.GT2024
Monopoles and transverse knots
Nobuo Iida, Masaki Taniguchi
We present a framework for studying transverse knots and symplectic surfaces utilizing the Seiberg-Witten monopole equation. Our primary approach involves investigating an equivari…
math.GT2024
Rank three instantons, representations and sutures
Aliakbar Daemi, Nobuo Iida, Christopher Scaduto
We show that the knot group of any knot in any integer homology sphere admits a non-abelian representation into such that meridians are mapped to matrices whose eigenvalues…