Author

Dang Võ Phúc

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Preprint Jul 2026

The rank-five Peterson hit problem, the fifth Singer transfer, and a geometric generator in unoriented cobordism

The Peterson hit problem seeks a minimal set of generators for the polynomial algebra $P_s = \mathbb{F}_2[x_1,\dots,x_s]$ as an unstable module over the mod-2 Steenrod algebra $\mathcal{A}$. For rank five, general admissible bases fail, and the interplay between Kameko periodicity and modular invariants becomes computa...

Phúc Võ Dang · 0 citations

Preprint Jul 2026

Combinatorial Bounds on the Peterson Hit Problem via Certified Matrix Minors

The Peterson hit problem seeks a minimal set of generators for the polynomial algebra $\mathcal P_k=\mathbb F_2[x_1,\ldots,x_k]$ as a module over the mod--2 Steenrod algebra. While completely resolved for $k \leq 4$, the unrestricted problem remains widely open for $k \geq 5$, where the combinatorial explosion of basis...

Dang Võ Phúc · 0 citations