arXiv subjects

Benjamin Daniels

Publications and source records attributed to Benjamin Daniels.

2 recordsLinked to original sources

arXiv2026

Braid closure union braid axis is ribbon concordance minimal

We show that a ribbon concordance minimal fibered knot $K$ in $S^3$ can generate ribbon concordance minimal links by the addition of any braid closure in $S^3 \setminus K$. As a corollary, we show that any link $L$ in $S^3$ may be made ribbon concordance minimal by adding a single unknot linked with $L$. Our proofs use link Floer homology together with classical techniques.

math.GT↗

arXiv2025

On the Categorified Wrapping Number Conjecture

We prove the Categorified Wrapping Number Conjecture for large classes of annular links, including alternating annular links and tangle closures exhibiting plumbed link phenomena. We do so by characterizing when a resolution is sufficient to produce a nonzero homology class in $k$-grading $\mathrm{wrap}(L)$ on its own. This characterization primarily concerns the type of crossing resolutions abutting trivial circles.

math.GT↗