Andrea Bianchi

activity

20242026

collaborators

5 papers

math.AT2026

Universal property of graph cobordisms

Andrea Bianchi, Adela Yiyu Zhang

We exhibit the symmetric monoidal $\infty$ -category $GrCob$ of graph cobordisms between spaces as a full $\infty$ -subcategory of the $\infty$ -category $\mathrm{Psh}(\mathr…

math.AT2025

String topology and graph cobordisms

Andrea Bianchi

We introduce a symmetric monoidal $\infty$ -category $GrCob$ of graph cobordisms between spaces, and use the homology of its morphism spaces to define string operations. Pr…

math.AT2025

Poincaré Duality Pairs of $\infty$ -Categories

Andrea Bianchi, Kaif Hilman, Dominik Kirstein +1

We introduce a notion of Poincaré duality for pairs of $\infty$ -categories, extending Poincaré-Lefschetz duality for pairs of spaces. This categorical extension yields an efficient…

math.CT2025

Symmetric monoidal extensions and graph cobordisms between finite sets

Andrea Bianchi

Given a symmetric monoidal $(\infty, n)$ -category $C$ and a space $X$ , we address the problem of explicitly describing the symmetric monoidal $(\infty, n)$ -category freely…

math.GT2024

On two quotients of $S^{2} \times S^{2}$

Andrea Bianchi

In this note we prove that two seemingly different smooth 4-manifolds arising as quotients of $S^{2} \times S^{2}$ by free actions of $Z /4$ are in fact diffeomorphic, answering…

Universal property of graph cobordisms

String topology and graph cobordisms

Poincaré Duality Pairs of ∞-Categories

Symmetric monoidal extensions and graph cobordisms between finite sets

On two quotients of S2×S2

Poincaré Duality Pairs of $\infty$ -Categories

On two quotients of $S^{2} \times S^{2}$