Phúc Võ Dang

activity

20152026

most citedOn a minimal set of generators for the polynomial algebra of five variables as a module over the Steenrod algebra

55 citations · 103 across the 26 of their papers we have counts for

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8 papers · 1 filter

math.AT2026

Binary Minor Certificates for the $A (1)$ -hit problem of $M O (2)$

Dang Vo Phuc

Let $M = H^{*} (M O (2); F_{2})$ and let $A (1)$ be the subalgebra of the mod $2$ Steenrod algebra generated by $Sq^{1}$ and $Sq^{2}$ . In…

math.AT2026

Two-Sided Dimension Bounds for the Peterson Hit Problem via Projections and Matrix Minors

Dang Vo Phuc, Peter V. Danchev

Let $P_{k} = F_{2} [x_{1}, \dots, x_{k}]$ be the polynomial algebra over the prime field $F_{2}$ , viewed as an unstable module over the mod- $2$ Steenrod algebra $\mathca…

math.AT2026

The Symmetric Hit Problem in Four Variables: Relative Cohits and Stabilizer-Fixed Preimages

Dang Vo Phuc, Peter V. Danchev

In this work, we study the symmetric hit problem in four variables by analyzing the relative cohit space, defined as the kernel of the inclusion-induced map from symmetric to ordin…

math.AT2026

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

Dang Vo Phuc

The Peterson hit problem seeks a minimal set of generators for the polynomial algebra $P_{s} = F_{2} [x_{1}, \dots, x_{s}]$ as an unstable module over the mod-2 Steenrod algebra $\ma…

math.AT2026

A Note on the 2-Local Homotopy Types of $G_{2}$ -Gauge Groups

Dang Vo Phuc

In a recent preprint \cite{Kameko2026} , Kameko presented a substantial completion of the 2-local classification of $G_{2}$ -gauge groups over $S^{4}$ , extending earlier work by Kishimo…

math.AT2026

Adams filtrations and secondary coherence for fibers of Steenrod operations

Dang Vo Phuc

Let $f : Y \to \prod_{λ} Σ^{d_{λ}} H F_{2}$ be a locally finite family of positive-degree stable operations, where $Y = H F_{2}$ or $H Z$ ; in the integral case assume $d_λ\geq…

math.AT2026

Local Parity and Systematic Peterson Counterexamples in the Motivic Hit Problem

Dang Vo Phuc

The motivic hit problem asks for a minimal set of module generators of $H^{*, *} (B V_{n}; F_{2})$ over the mod~ $2$ motivic Steenrod algebra. Kameko proved that the motivic Peterso…

math.AT2026

The fifth algebraic transfer in generic degrees and validation of a localized Kameko's conjecture

Dang Vo Phuc

This paper develops our previous works concerning the classical Peterson hit problem for the polynomial algebra on five variables over the mod--2 Steenrod algebra $A$ in a…

Binary Minor Certificates for the A(1)-hit problem of MO(2)

Two-Sided Dimension Bounds for the Peterson Hit Problem via Projections and Matrix Minors

The Symmetric Hit Problem in Four Variables: Relative Cohits and Stabilizer-Fixed Preimages

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

A Note on the 2-Local Homotopy Types of G2​-Gauge Groups

Adams filtrations and secondary coherence for fibers of Steenrod operations

Local Parity and Systematic Peterson Counterexamples in the Motivic Hit Problem

The fifth algebraic transfer in generic degrees and validation of a localized Kameko's conjecture

Binary Minor Certificates for the $A (1)$ -hit problem of $M O (2)$

A Note on the 2-Local Homotopy Types of $G_{2}$ -Gauge Groups