3 problems

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The instanton knot invariant correspondence conjecture
Instanton knot invariants are defined from gauge-theoretic Floer theory, while knot invariants were constructed by Ozsváth–Szabó and Rasmussen in Heegaard Floer theory and by Kronh…
Conjectureopeninstanton-floer-theory knot-invariantsarXiv posted 2 days ago
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Scaduto's integrality and mod 4 congruence conjecture for instanton polynomials
Let $R=\mathbb{Z}[\alpha,\beta]$ , and define polynomials $\zeta_r(\alpha,\beta)$ recursively by … Writing $\beta=\alpha^2+8\varepsilon$ , define … where $k!!=k(k-2)\cdots 3\cdot1$ f…
Conjectureopen4-manifolds instanton-floer-theory integer-polynomialsarXiv posted 2 days ago
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The integrality and mod 4 reduction conjecture for Muñoz's polynomial
The integrality and reduction conjecture. The expression
Conjectureopenalgebraic-topology instanton-floer-theory lattice-theoryarXiv posted 2 days ago

The instanton knot invariant correspondence conjecture