Dang Võ Phúc

collaborators

22 papers

math.AT2026

Combinatorial Bounds on the Peterson Hit Problem via Certified Matrix Minors

Dang Vo Phuc

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

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

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer

Dang Vo Phuc

Let $A$ be the mod-2 Steenrod algebra acting in the usual way on $P_{q} = F_{2} [x_{1}, \dots, x_{q}]$ , and let $Q P_{q} = F_{2} \otimes_{A} P_{q}$ . Singer's…

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

On Bruner's Open Questions: Secondary Ext of the Fibe of $S q^{n}$ via Explicit Secondary Adem Tracks

Dang Vo Phuc

Robert Bruner \cite[Questions 6.1 and 6.2]{Bruner2026} asked whether the secondary cohomology of the fibers $F_{n}$ , $F_{n Z}$ , and $F$ can be computed to determine the $E_{3}$ …

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…

Combinatorial Bounds on the Peterson Hit Problem via Certified Matrix Minors

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

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer

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

On Bruner's Open Questions: Secondary Ext of the Fibe of Sqn via Explicit Secondary Adem Tracks

Local Parity and Systematic Peterson Counterexamples in the Motivic Hit Problem

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

On Bruner's Open Questions: Secondary Ext of the Fibe of $S q^{n}$ via Explicit Secondary Adem Tracks