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math.AT2026

Minimal Unital Cyclic $C_{\infty}$ -Algebras and the Real and Rational Homotopy Type of Closed Manifolds

Hông Vân Lê

Using the notion of isotopy modulo $k$ , for $k \in N^{+}$ , we introduce a stratification on the set of minimal $C_{\infty}$ -algebra enhancements of a finite-dimensional graded co…

math.AT2023

Unital $C_{\infty}$ -algebras and the real homotopy type of $(r - 1)$ -connected compact manifolds of dimension $\leq ℓ (r - 1) + 2$

Domenico Fiorenza, Hông Vân Lê

We encode the real homotopy type of an $n$ -dimensional $(r - 1)$ -connected compact manifold $M$ , $r \geq 2$ into a minimal unital $C_{\infty}$ -structure on $H^{*} (M, R)$ , obtained…

Minimal Unital Cyclic C∞​-Algebras and the Real and Rational Homotopy Type of Closed Manifolds

Unital C∞​-algebras and the real homotopy type of (r−1)-connected compact manifolds of dimension ≤ℓ(r−1)+2

Minimal Unital Cyclic $C_{\infty}$ -Algebras and the Real and Rational Homotopy Type of Closed Manifolds

Unital $C_{\infty}$ -algebras and the real homotopy type of $(r - 1)$ -connected compact manifolds of dimension $\leq ℓ (r - 1) + 2$