Pengcheng Li

collaborators

2 papers

math.AT2026

Stable Cohomotopy in Codimensions Two and Three: From Algebraic Characterizations to Bordism-Theoretic Interpretations

Pengcheng Li, Jianzhong Pan, Jie Wu

This paper investigates stable cohomotopy groups in codimensions two and three from complementary algebraic and geometric viewpoints. For general CW complexes, we give a complete c…

math.AT2025

Cohomotopy Sets of $(n - 1)$ -connected $(2 n + 2)$ -manifolds for small $n$

Pengcheng Li, Jianzhong Pan, Jie Wu

Let $M$ be a closed orientable $(n - 1)$ -connected $(2 n + 2)$ -manifold, $n \geq 2$ . In this paper we combine the Postnikov tower of spheres and the homotopy decomposition of the reduced…

Stable Cohomotopy in Codimensions Two and Three: From Algebraic Characterizations to Bordism-Theoretic Interpretations

Cohomotopy Sets of (n−1)-connected (2n+2)-manifolds for small n

Cohomotopy Sets of $(n - 1)$ -connected $(2 n + 2)$ -manifolds for small $n$