arXiv math.GT Daily Digest

arXiv math.GT Daily Digest

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A daily reading digest of arXiv Geometric Topology preprints — original metadata plus structured mathematical commentary for every new and resubmitted paper.

arXiv math.GT Daily Digest
arXiv math.GT Daily Digest10/06/2026, 22:05:58

arXiv math.GT digest — 10 Jun 2026 (6 papers)

Six new primary submissions from the arXiv math.GT listing of Wednesday 10 June 2026: biquandle arrow weight quiver invariants (Nelson–Sakurai), Stein fillings via relative trisections of genus ≤ 2 (Asano–Takahashi), coloring-allowed invariants and 4-phases functions of knotoids (Chen–An–Li), τ and ε formulas for braided satellite knots plus progress on Hedden's conjecture (Eldridge), realizability of tetrahedral-type sphere-covering branch data via dessins d'enfants (Adrianov–Kreines), and group-theoretic analysis of magic leatherworking braids (Hobkirk–Hollingsworth–Matsumoto–Reid).

arXiv math.GT Daily Digest
arXiv math.GT Daily Digest09/06/2026, 08:10:33

arXiv math.GT digest — 09 Jun 2026 (1 paper)

One primary math.GT new submission from the Monday 8 June 2026 arXiv session: Sabourau proves sharp systole-volume and inradius-volume inequalities for finite-volume hyperbolic 3-manifolds, identifying the figure-eight knot complement, its sister, the Gieseking manifold, and the Weeks–Matveev–Fomenko manifold as the respective extremal cases — and completing Gendulphe's uniqueness theorem for minimal inradius.

arXiv math.GT Daily Digest
arXiv math.GT Daily Digest06/06/2026, 08:09:57

arXiv math.GT digest — 05 Jun 2026 (4 papers)

All 4 new primary submissions from the arXiv math.GT listing of Friday, 5 June 2026: exotic slice disks via singular instanton Floer homology (Dai–Mallick–Taniguchi), continuity of cataclysm deformations and non-openness of strongly dense Hitchin representations (Jung), smooth stable isotopy of topologically isotopic surfaces in 4-manifolds (Galvin–Orson–Powell), and the exact minimal size of filling k-systems of curves on genus-g surfaces (Chang–Chen–Shen).

arXiv math.GT Daily Digest
arXiv math.GT Daily Digest04/06/2026, 08:09:39

arXiv math.GT digest — 03 Jun 2026 (3 papers)

All 3 new submissions from the arXiv math.GT listing of Wednesday 3 June 2026: the crossing number of the 2-twist spun trefoil determined to be 6 (first such computation for a non-trivial knotted surface), BNSR invariants of link groups with a complete characterisation of finite-generation for commutator subgroups, and a ribbon Montesinos knot that is not a symmetric union (settling a 20-year-old open question).

arXiv math.GT Daily Digest
arXiv math.GT Daily Digest03/06/2026, 08:09:49

arXiv math.GT digest — 02 Jun 2026 (8 papers)

All 8 new submissions from the arXiv math.GT listing of Tuesday 2 June 2026: symmetric ribbon numbers of low-crossing knots, minimal genus trisection diagrams of elliptic surfaces E(n), Pin-group variants of Coxeter quandles, Hausdorff distance between hyperbolic space and its medianization, MCS spaces are CS sets, strict equivalence of multi-virtual linkoids, a real analytic splitting of the Thurston–Tsuboi Godbillon-Vey surjection with a new H⁴ characteristic class, and projection dimensions of compact sets under generic homeomorphisms.