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Author

B. J. Wuebben

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Preprint Aug 2026

An exotic $S^2\times S^2$ and an exotic $\mathbb{CP}^2\#\overline{\mathbb{CP}}^2$

We prove that a specified Lidman-Piccirillo piece $V$, a symplectic $4$-manifold with the homology of $S^2\times D^2$ built from a genus-$2$ surface bundle over a once-punctured torus by two Luttinger surgeries, is simply connected, for an explicit permitted choice of the two surgery parametrizations. Three consequence...

B. J. Wuebben · 0 citations
Preprint Aug 2026

An exotic $S^2\times S^2$ and an exotic $\mathbb{CP}^2\#\overline{\mathbb{CP}}^2$

We prove that a specified Lidman-Piccirillo piece $V$, a symplectic $4$-manifold with the homology of $S^2\times D^2$ built from a genus-$2$ surface bundle over a once-punctured torus by two Luttinger surgeries, is simply connected, for an explicit permitted choice of the two surgery parametrizations. Three consequence...

B. J. Wuebben · 0 citations
Preprint Jul 2026

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots

For the $(3,n)$-torus knots we determine the $\mathbb{Z}/4$ gradings of the reduced singular instanton chain complex through the double branched cover $\Sigma(2,3,n)$ rather than through an index computation: each irreducible flat connection on the cover has two traceless knot lifts of equal grading, so Daemi-Scaduto's...

B. J. Wuebben · 0 citations

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