A. Zhang

collaborators

3 papers

math.GT2025

Inertia groups of $(n - 1)$ -connected $2 n$ -manifolds

Andrew Senger, Adela YiYu Zhang

In this paper, we compute the inertia groups of $(n - 1)$ -connected, smooth, closed, oriented $2 n$ -manifolds where $n \geq 3$ . As a consequence, we complete the diffeomorphism classi…

math.AT2025

Quillen homology of spectral Lie algebras with application to mod $p$ homology of labeled configuration spaces

Adela YiYu Zhang

We provide a general method computing the mod $p$ Quillen homology of algebras over a monad that parametrizes the structure of mod $p$ homology of spectral Lie algebras. This is th…

math.AT2025

Operations on spectral partition Lie algebras and TAQ cohomology

Adela YiYu Zhang

We determine all natural operations and their relations on the homotopy groups of spectral partition Lie algebras, which coincide with $F_{p}$ -linear topological AndrÃ©-Quil…

Inertia groups of (n−1)-connected 2n-manifolds

Quillen homology of spectral Lie algebras with application to mod p homology of labeled configuration spaces

Operations on spectral partition Lie algebras and TAQ cohomology

Inertia groups of $(n - 1)$ -connected $2 n$ -manifolds

Quillen homology of spectral Lie algebras with application to mod $p$ homology of labeled configuration spaces